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Finding the Fourth Proportional to 3,882.86, 5,358.14 and 2,114.40

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Solution

The fourth proportional to 3,882.86, 5,358.14 and 2,114.40 is: 2,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.86 : 5,358.14 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    3,882.86/5,358.14 = 2,114.40/x
  3. Step 3: Cross multiply
    3,882.86x = 5,358.14 × 2,114.40
  4. Step 4: Simplify right side
    3,882.86x = 11,329,251.22
  5. Step 5: Solve for x
    x = 11,329,251.22/3,882.86
  6. Step 6: Final answer
    x = 2,917.76

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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.