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Finding the Fourth Proportional to 5,372.91, 7,414.49 and 2,982.74

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Solution

The fourth proportional to 5,372.91, 7,414.49 and 2,982.74 is: 4,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.91 : 7,414.49 = 2,982.74 : x
  2. Step 2: Convert to fraction form
    5,372.91/7,414.49 = 2,982.74/x
  3. Step 3: Cross multiply
    5,372.91x = 7,414.49 × 2,982.74
  4. Step 4: Simplify right side
    5,372.91x = 22,115,494.09
  5. Step 5: Solve for x
    x = 22,115,494.09/5,372.91
  6. Step 6: Final answer
    x = 4,116.11

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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.