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Finding the Fourth Proportional to 5,414.74, 7,469.96 and 3,175.48

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Solution

The fourth proportional to 5,414.74, 7,469.96 and 3,175.48 is: 4,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.74 : 7,469.96 = 3,175.48 : x
  2. Step 2: Convert to fraction form
    5,414.74/7,469.96 = 3,175.48/x
  3. Step 3: Cross multiply
    5,414.74x = 7,469.96 × 3,175.48
  4. Step 4: Simplify right side
    5,414.74x = 23,720,708.58
  5. Step 5: Solve for x
    x = 23,720,708.58/5,414.74
  6. Step 6: Final answer
    x = 4,380.77

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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.