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Finding the Fourth Proportional to 3,806.20, 5,711.12 and 1,342.18

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Solution

The fourth proportional to 3,806.20, 5,711.12 and 1,342.18 is: 2,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.20 : 5,711.12 = 1,342.18 : x
  2. Step 2: Convert to fraction form
    3,806.20/5,711.12 = 1,342.18/x
  3. Step 3: Cross multiply
    3,806.20x = 5,711.12 × 1,342.18
  4. Step 4: Simplify right side
    3,806.20x = 7,665,330.05
  5. Step 5: Solve for x
    x = 7,665,330.05/3,806.20
  6. Step 6: Final answer
    x = 2,013.91

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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.