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Finding the Fourth Proportional to 3,787.56, 5,680.20 and 1,596.24

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Solution

The fourth proportional to 3,787.56, 5,680.20 and 1,596.24 is: 2,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.56 : 5,680.20 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    3,787.56/5,680.20 = 1,596.24/x
  3. Step 3: Cross multiply
    3,787.56x = 5,680.20 × 1,596.24
  4. Step 4: Simplify right side
    3,787.56x = 9,066,962.45
  5. Step 5: Solve for x
    x = 9,066,962.45/3,787.56
  6. Step 6: Final answer
    x = 2,393.88

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