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Finding the Fourth Proportional to 3,883.80, 5,359.68 and 2,115.42

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Solution

The fourth proportional to 3,883.80, 5,359.68 and 2,115.42 is: 2,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.80 : 5,359.68 = 2,115.42 : x
  2. Step 2: Convert to fraction form
    3,883.80/5,359.68 = 2,115.42/x
  3. Step 3: Cross multiply
    3,883.80x = 5,359.68 × 2,115.42
  4. Step 4: Simplify right side
    3,883.80x = 11,337,974.27
  5. Step 5: Solve for x
    x = 11,337,974.27/3,883.80
  6. Step 6: Final answer
    x = 2,919.30

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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.