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Finding the Fourth Proportional to 3,874.27, 5,807.76 and 2,139.25

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Solution

The fourth proportional to 3,874.27, 5,807.76 and 2,139.25 is: 3,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.27 : 5,807.76 = 2,139.25 : x
  2. Step 2: Convert to fraction form
    3,874.27/5,807.76 = 2,139.25/x
  3. Step 3: Cross multiply
    3,874.27x = 5,807.76 × 2,139.25
  4. Step 4: Simplify right side
    3,874.27x = 12,424,250.58
  5. Step 5: Solve for x
    x = 12,424,250.58/3,874.27
  6. Step 6: Final answer
    x = 3,206.86

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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.