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United scored twice in the first half through Bruce Djite and Fabio Ferreira, before Sergio Cirio and Jeronimo Neumann wrapped up the three points after the break to condemn the Mariners to their first away loss of the campaign.
Spanish attacker Cirio played a huge role in Adelaide's opener, advancing down the flank before crossing for Djite to convert in the penalty area.
Five minutes before the break, Cirio contributed his second assist of the half by providing Ferreira with the opportunity to double United's advantage.
The home side put the game out of Central Coast's reach shortly after half time when Cirio's audacious effort caught out goalkeeper Liam Reddy.
The scoring appeared to be complete as the match entered the final few minutes, but Neumann got in on the act with a clinical finish in the last minute to help Adelaide move away from the bottom two in the A-League table.