You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $$2,376\mathrm{.}46$ and you have made every payment on time. The original term of the mortgage was $30$ years, and the mortgage is exactly four years and eight months old. You have just made your monthly payment. The mortgage interest rate is $5\mathrm{.}625\%($APR$).$ How much do you owe on the mortgage today? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

The amount you owe today is $$.($Round to the nearest cent.$)$