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Finding the Fourth Proportional to 5,456.38, 7,529.80 and 2,972.38

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Solution

The fourth proportional to 5,456.38, 7,529.80 and 2,972.38 is: 4,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.38 : 7,529.80 = 2,972.38 : x
  2. Step 2: Convert to fraction form
    5,456.38/7,529.80 = 2,972.38/x
  3. Step 3: Cross multiply
    5,456.38x = 7,529.80 × 2,972.38
  4. Step 4: Simplify right side
    5,456.38x = 22,381,389.28
  5. Step 5: Solve for x
    x = 22,381,389.28/5,456.38
  6. Step 6: Final answer
    x = 4,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.