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Finding the Fourth Proportional to 5,472.71, 8,201.37 and 3,129.20

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Solution

The fourth proportional to 5,472.71, 8,201.37 and 3,129.20 is: 4,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.71 : 8,201.37 = 3,129.20 : x
  2. Step 2: Convert to fraction form
    5,472.71/8,201.37 = 3,129.20/x
  3. Step 3: Cross multiply
    5,472.71x = 8,201.37 × 3,129.20
  4. Step 4: Simplify right side
    5,472.71x = 25,663,686.00
  5. Step 5: Solve for x
    x = 25,663,686.00/5,472.71
  6. Step 6: Final answer
    x = 4,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.