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Finding the Fourth Proportional to 4,463.92, 6,159.86 and 2,474.43

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Solution

The fourth proportional to 4,463.92, 6,159.86 and 2,474.43 is: 3,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.92 : 6,159.86 = 2,474.43 : x
  2. Step 2: Convert to fraction form
    4,463.92/6,159.86 = 2,474.43/x
  3. Step 3: Cross multiply
    4,463.92x = 6,159.86 × 2,474.43
  4. Step 4: Simplify right side
    4,463.92x = 15,242,142.38
  5. Step 5: Solve for x
    x = 15,242,142.38/4,463.92
  6. Step 6: Final answer
    x = 3,414.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.