A less frantic, but no less thrilling, second half saw Harry Maguire stretch the Tigers' lead before the game was closed out and with Swansea losing at home to Tottenham Hotspur, the result was enough to move out of the relegation zone. "The players remarked on the noise they made in the far corner".
The Tigers have now taken 16 points from a possible 18 in their last six home league games to give their survival battle real momentum and Silva said his side's display was their best since he took charge in January.
In fact, since Silva took over the the KCOM Stadium, Hull have bagged an impressive 17 points.
Boro were stunned and needed some invention to get back in the game and Rudy Gestede almost provided that but he saw his header tipped onto the crossbar by keeper Eldin Jakupovic.
"It's a group of players that will fight to the very end and we have a game in hand on some teams and a home game (against Burnley) coming up on Saturday".
Boro's response was swift and impressively clinical, as Alvaro Negredo swept a pass out to Adama Traore on the right flank before dashing 40 yards to slide in at the back post and convert a wayward shot from the Spaniard that had quickly turned into an inch-perfect cross.
Andy Robertson's deflected cross in from the left caused confusion in the Middlesbrough defence and after Hernandez had seen his effort from close range blocked, Markovic followed up to poke the ball into the net.
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It was proper end-to-end stuff and Middlesbrough were nearly back within a goal when Rudy Gestede got up high to meet a deep cross and saw his header tipped onto the crossbar by Jakupovic.
England defender Ben Gibson was culpable for the first two goals having failed to clear, while Hull's fourth goal came as Harry Maguire was unchallenged in the penalty area.
Middlesbrough reduced the deficit in first-half stoppage time in controversial circumstances.
The pace, understandably, slackened after half-time, but the game remained remarkably open with chances at either end.
Hull City: Jakupovic; Elmohamady, Maguire (Dawson 80), Ranocchia, Robertson; Markovic, Clucas, N'Diaye, Grosicki (Henriksen 88); Niasse, Hernandez (Evandro 50).
Replays showed De Roon was clearly standing in an offside position when he headed the ball past Eldin Jakupovic.