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Finding the Fourth Proportional to 3,885.20, 5,350.92 and 3,813.20

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Solution

The fourth proportional to 3,885.20, 5,350.92 and 3,813.20 is: 5,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.20 : 5,350.92 = 3,813.20 : x
  2. Step 2: Convert to fraction form
    3,885.20/5,350.92 = 3,813.20/x
  3. Step 3: Cross multiply
    3,885.20x = 5,350.92 × 3,813.20
  4. Step 4: Simplify right side
    3,885.20x = 20,404,128.14
  5. Step 5: Solve for x
    x = 20,404,128.14/3,885.20
  6. Step 6: Final answer
    x = 5,251.76

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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.