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Finding the Fourth Proportional to 4,945.38, 7,414.12 and 2,478.88

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Solution

The fourth proportional to 4,945.38, 7,414.12 and 2,478.88 is: 3,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.38 : 7,414.12 = 2,478.88 : x
  2. Step 2: Convert to fraction form
    4,945.38/7,414.12 = 2,478.88/x
  3. Step 3: Cross multiply
    4,945.38x = 7,414.12 × 2,478.88
  4. Step 4: Simplify right side
    4,945.38x = 18,378,713.79
  5. Step 5: Solve for x
    x = 18,378,713.79/4,945.38
  6. Step 6: Final answer
    x = 3,716.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.