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Finding the Fourth Proportional to 3,711.65, 5,122.13 and 2,033.02

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Solution

The fourth proportional to 3,711.65, 5,122.13 and 2,033.02 is: 2,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.65 : 5,122.13 = 2,033.02 : x
  2. Step 2: Convert to fraction form
    3,711.65/5,122.13 = 2,033.02/x
  3. Step 3: Cross multiply
    3,711.65x = 5,122.13 × 2,033.02
  4. Step 4: Simplify right side
    3,711.65x = 10,413,392.73
  5. Step 5: Solve for x
    x = 10,413,392.73/3,711.65
  6. Step 6: Final answer
    x = 2,805.60

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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.