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Finding the Fourth Proportional to 3,972.90, 5,957.46 and 1,472.37

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Solution

The fourth proportional to 3,972.90, 5,957.46 and 1,472.37 is: 2,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.90 : 5,957.46 = 1,472.37 : x
  2. Step 2: Convert to fraction form
    3,972.90/5,957.46 = 1,472.37/x
  3. Step 3: Cross multiply
    3,972.90x = 5,957.46 × 1,472.37
  4. Step 4: Simplify right side
    3,972.90x = 8,771,591.03
  5. Step 5: Solve for x
    x = 8,771,591.03/3,972.90
  6. Step 6: Final answer
    x = 2,207.85

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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.