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Finding the Fourth Proportional to 3,711.74, 5,122.26 and 2,033.15

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Solution

The fourth proportional to 3,711.74, 5,122.26 and 2,033.15 is: 2,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.74 : 5,122.26 = 2,033.15 : x
  2. Step 2: Convert to fraction form
    3,711.74/5,122.26 = 2,033.15/x
  3. Step 3: Cross multiply
    3,711.74x = 5,122.26 × 2,033.15
  4. Step 4: Simplify right side
    3,711.74x = 10,414,297.31
  5. Step 5: Solve for x
    x = 10,414,297.31/3,711.74
  6. Step 6: Final answer
    x = 2,805.78

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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.