This is based on a false assumption. If you had a field of flowers beside you, the smell would not fade quickly.
Comparing perfume with rotting food is not a fair comparison. It would be better to compare perfume from the smell of smoke that you get when you put out a candle. They both make a scent in the air, but they both fade over time.
This is because they dilute into the air until they drop below a point where you can detect them.
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