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Finding the Fourth Proportional to 5,372.69, 7,414.27 and 2,982.60

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Solution

The fourth proportional to 5,372.69, 7,414.27 and 2,982.60 is: 4,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.69 : 7,414.27 = 2,982.60 : x
  2. Step 2: Convert to fraction form
    5,372.69/7,414.27 = 2,982.60/x
  3. Step 3: Cross multiply
    5,372.69x = 7,414.27 × 2,982.60
  4. Step 4: Simplify right side
    5,372.69x = 22,113,785.98
  5. Step 5: Solve for x
    x = 22,113,785.98/5,372.69
  6. Step 6: Final answer
    x = 4,115.96

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