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Finding the Fourth Proportional to 3,882.83, 5,358.15 and 2,114.43

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Solution

The fourth proportional to 3,882.83, 5,358.15 and 2,114.43 is: 2,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.83 : 5,358.15 = 2,114.43 : x
  2. Step 2: Convert to fraction form
    3,882.83/5,358.15 = 2,114.43/x
  3. Step 3: Cross multiply
    3,882.83x = 5,358.15 × 2,114.43
  4. Step 4: Simplify right side
    3,882.83x = 11,329,433.10
  5. Step 5: Solve for x
    x = 11,329,433.10/3,882.83
  6. Step 6: Final answer
    x = 2,917.83

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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.