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Finding the Fourth Proportional to 3,949.02, 5,446.85 and 2,532.74

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Solution

The fourth proportional to 3,949.02, 5,446.85 and 2,532.74 is: 3,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.02 : 5,446.85 = 2,532.74 : x
  2. Step 2: Convert to fraction form
    3,949.02/5,446.85 = 2,532.74/x
  3. Step 3: Cross multiply
    3,949.02x = 5,446.85 × 2,532.74
  4. Step 4: Simplify right side
    3,949.02x = 13,795,414.97
  5. Step 5: Solve for x
    x = 13,795,414.97/3,949.02
  6. Step 6: Final answer
    x = 3,493.38

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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.