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Finding the Fourth Proportional to 5,372.16, 7,414.02 and 2,982.38

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Solution

The fourth proportional to 5,372.16, 7,414.02 and 2,982.38 is: 4,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.16 : 7,414.02 = 2,982.38 : x
  2. Step 2: Convert to fraction form
    5,372.16/7,414.02 = 2,982.38/x
  3. Step 3: Cross multiply
    5,372.16x = 7,414.02 × 2,982.38
  4. Step 4: Simplify right side
    5,372.16x = 22,111,424.97
  5. Step 5: Solve for x
    x = 22,111,424.97/5,372.16
  6. Step 6: Final answer
    x = 4,115.93

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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.