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Finding the Fourth Proportional to 3,646.52, 5,471.04 and 2,000.96

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Solution

The fourth proportional to 3,646.52, 5,471.04 and 2,000.96 is: 3,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.52 : 5,471.04 = 2,000.96 : x
  2. Step 2: Convert to fraction form
    3,646.52/5,471.04 = 2,000.96/x
  3. Step 3: Cross multiply
    3,646.52x = 5,471.04 × 2,000.96
  4. Step 4: Simplify right side
    3,646.52x = 10,947,332.20
  5. Step 5: Solve for x
    x = 10,947,332.20/3,646.52
  6. Step 6: Final answer
    x = 3,002.13

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