At a florist, there was a total of $$3616$$ orchids, tulips and roses. The ratio of the number of orchids to the number of tulips was $$3:5$$.~ After $$40 \%$$ of the orchids, $$\frac{1}{5}$$ of the tulips and $$25 \%$$ of the roses were sold, there were $$2644$$ flowers left in the end. How many orchids were there in the florist at first? 
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