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Finding the Fourth Proportional to 3,664.92, 5,071.50 and 3,200.52

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Solution

The fourth proportional to 3,664.92, 5,071.50 and 3,200.52 is: 4,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.92 : 5,071.50 = 3,200.52 : x
  2. Step 2: Convert to fraction form
    3,664.92/5,071.50 = 3,200.52/x
  3. Step 3: Cross multiply
    3,664.92x = 5,071.50 × 3,200.52
  4. Step 4: Simplify right side
    3,664.92x = 16,231,437.18
  5. Step 5: Solve for x
    x = 16,231,437.18/3,664.92
  6. Step 6: Final answer
    x = 4,428.87

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