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Finding the Fourth Proportional to 5,414.62, 7,468.04 and 3,738.83

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Solution

The fourth proportional to 5,414.62, 7,468.04 and 3,738.83 is: 5,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.62 : 7,468.04 = 3,738.83 : x
  2. Step 2: Convert to fraction form
    5,414.62/7,468.04 = 3,738.83/x
  3. Step 3: Cross multiply
    5,414.62x = 7,468.04 × 3,738.83
  4. Step 4: Simplify right side
    5,414.62x = 27,921,731.99
  5. Step 5: Solve for x
    x = 27,921,731.99/5,414.62
  6. Step 6: Final answer
    x = 5,156.73

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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.