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Finding the Fourth Proportional to 5,154.92, 7,732.32 and 3,572.20

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Solution

The fourth proportional to 5,154.92, 7,732.32 and 3,572.20 is: 5,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.92 : 7,732.32 = 3,572.20 : x
  2. Step 2: Convert to fraction form
    5,154.92/7,732.32 = 3,572.20/x
  3. Step 3: Cross multiply
    5,154.92x = 7,732.32 × 3,572.20
  4. Step 4: Simplify right side
    5,154.92x = 27,621,393.50
  5. Step 5: Solve for x
    x = 27,621,393.50/5,154.92
  6. Step 6: Final answer
    x = 5,358.26

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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.