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Finding the Fourth Proportional to 5,414.65, 7,472.97 and 3,177.25

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Solution

The fourth proportional to 5,414.65, 7,472.97 and 3,177.25 is: 4,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.65 : 7,472.97 = 3,177.25 : x
  2. Step 2: Convert to fraction form
    5,414.65/7,472.97 = 3,177.25/x
  3. Step 3: Cross multiply
    5,414.65x = 7,472.97 × 3,177.25
  4. Step 4: Simplify right side
    5,414.65x = 23,743,493.93
  5. Step 5: Solve for x
    x = 23,743,493.93/5,414.65
  6. Step 6: Final answer
    x = 4,385.05

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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.