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Finding the Fourth Proportional to 4,947.38, 7,414.38 and 2,024.09

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Solution

The fourth proportional to 4,947.38, 7,414.38 and 2,024.09 is: 3,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.38 : 7,414.38 = 2,024.09 : x
  2. Step 2: Convert to fraction form
    4,947.38/7,414.38 = 2,024.09/x
  3. Step 3: Cross multiply
    4,947.38x = 7,414.38 × 2,024.09
  4. Step 4: Simplify right side
    4,947.38x = 15,007,372.41
  5. Step 5: Solve for x
    x = 15,007,372.41/4,947.38
  6. Step 6: Final answer
    x = 3,033.40

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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.