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Finding the Fourth Proportional to 5,414.09, 7,469.96 and 3,425.47

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Solution

The fourth proportional to 5,414.09, 7,469.96 and 3,425.47 is: 4,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.09 : 7,469.96 = 3,425.47 : x
  2. Step 2: Convert to fraction form
    5,414.09/7,469.96 = 3,425.47/x
  3. Step 3: Cross multiply
    5,414.09x = 7,469.96 × 3,425.47
  4. Step 4: Simplify right side
    5,414.09x = 25,588,088.08
  5. Step 5: Solve for x
    x = 25,588,088.08/5,414.09
  6. Step 6: Final answer
    x = 4,726.21

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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.