A classic hat-trick from Liam Enver-Marum helped Ebbsfleet United into the last 32 of the FA Trophy with a 5-2 win at Truro City.
Michael West and Nathaniel Pinney also scored as Fleet sailed into Monday's second round draw.
Manager Liam Daish told BBC Sport: "We came here to do a job and we were quite efficient.
"Our performance in the FA Cup against Redbridge was disappointing, but today we did a job," he added.
"Liam Enver-Marum is a good player. He's worked hard and came up with three good quality finishes . . . head, left foot, right foot, that's a proper hat-trick."
Kent's only other team still in the competition are Dartford, who beat Brackley 3-0 thanks to a first-half goal from Elliot Bradbrook and two from Jacob Erskine after the break.
Fleet were first out of the hat in the second round drawn with a home tie against reborn Chester, while Dartford also earned a home draw on 14 January against Boston United.
Welling United were beaten 2-1 by Ryman League East Thurrock United, Andy Pugh netting his 18th goal of the season for the Wings.
Dover Athletic ended a four-game losing run with a 4-1 win over Bromley, George Purcell hitting a first-half hat-trick.
That sent Dover soaring to sixth in the Blue Square Bet South table, while Bromley suffered an eighth straight defeat.
Maidstone United lost ground in the Ryman South promotion race as they conceded a late penalty to lose 1-0 to Walton Casuals, while Chatham Town had their best result of the season in Ryman North, a 1-0 victory at leaders Needham Market.