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Finding the Fourth Proportional to 3,806.73, 5,697.12 and 3,191.13

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Solution

The fourth proportional to 3,806.73, 5,697.12 and 3,191.13 is: 4,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.73 : 5,697.12 = 3,191.13 : x
  2. Step 2: Convert to fraction form
    3,806.73/5,697.12 = 3,191.13/x
  3. Step 3: Cross multiply
    3,806.73x = 5,697.12 × 3,191.13
  4. Step 4: Simplify right side
    3,806.73x = 18,180,250.55
  5. Step 5: Solve for x
    x = 18,180,250.55/3,806.73
  6. Step 6: Final answer
    x = 4,775.82

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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.