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Finding the Fourth Proportional to 3,251.89, 4,877.72 and 1,377.27

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Solution

The fourth proportional to 3,251.89, 4,877.72 and 1,377.27 is: 2,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.89 : 4,877.72 = 1,377.27 : x
  2. Step 2: Convert to fraction form
    3,251.89/4,877.72 = 1,377.27/x
  3. Step 3: Cross multiply
    3,251.89x = 4,877.72 × 1,377.27
  4. Step 4: Simplify right side
    3,251.89x = 6,717,920.94
  5. Step 5: Solve for x
    x = 6,717,920.94/3,251.89
  6. Step 6: Final answer
    x = 2,065.85

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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.