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Finding the Fourth Proportional to 4,463.57, 6,160.07 and 2,474.31

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Solution

The fourth proportional to 4,463.57, 6,160.07 and 2,474.31 is: 3,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.57 : 6,160.07 = 2,474.31 : x
  2. Step 2: Convert to fraction form
    4,463.57/6,160.07 = 2,474.31/x
  3. Step 3: Cross multiply
    4,463.57x = 6,160.07 × 2,474.31
  4. Step 4: Simplify right side
    4,463.57x = 15,241,910.43
  5. Step 5: Solve for x
    x = 15,241,910.43/4,463.57
  6. Step 6: Final answer
    x = 3,414.74

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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.