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Finding the Fourth Proportional to 4,952.27, 7,414.05 and 3,853.31

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Solution

The fourth proportional to 4,952.27, 7,414.05 and 3,853.31 is: 5,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.27 : 7,414.05 = 3,853.31 : x
  2. Step 2: Convert to fraction form
    4,952.27/7,414.05 = 3,853.31/x
  3. Step 3: Cross multiply
    4,952.27x = 7,414.05 × 3,853.31
  4. Step 4: Simplify right side
    4,952.27x = 28,568,576.67
  5. Step 5: Solve for x
    x = 28,568,576.67/4,952.27
  6. Step 6: Final answer
    x = 5,768.78

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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.