The annual Tennis Club membership fees of $$3750$ are due on July $28,2018.$ Club management offers a reduction of membership fees of $19\mathrm{.}3\%$ p$.$a$.$ to members who pay the dues by May $29,2018.$ How much must a member pay on May $29,2018,$ if she chooses to take advantage of the club management's offer?

She must pay $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$