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Finding the Fourth Proportional to 3,725.44, 5,141.22 and 2,046.97

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Solution

The fourth proportional to 3,725.44, 5,141.22 and 2,046.97 is: 2,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.44 : 5,141.22 = 2,046.97 : x
  2. Step 2: Convert to fraction form
    3,725.44/5,141.22 = 2,046.97/x
  3. Step 3: Cross multiply
    3,725.44x = 5,141.22 × 2,046.97
  4. Step 4: Simplify right side
    3,725.44x = 10,523,923.10
  5. Step 5: Solve for x
    x = 10,523,923.10/3,725.44
  6. Step 6: Final answer
    x = 2,824.88

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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.