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Finding the Fourth Proportional to 3,711.71, 5,122.23 and 2,033.12

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Solution

The fourth proportional to 3,711.71, 5,122.23 and 2,033.12 is: 2,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.71 : 5,122.23 = 2,033.12 : x
  2. Step 2: Convert to fraction form
    3,711.71/5,122.23 = 2,033.12/x
  3. Step 3: Cross multiply
    3,711.71x = 5,122.23 × 2,033.12
  4. Step 4: Simplify right side
    3,711.71x = 10,414,104.35
  5. Step 5: Solve for x
    x = 10,414,104.35/3,711.71
  6. Step 6: Final answer
    x = 2,805.74

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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.