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Finding the Fourth Proportional to 3,882.69, 5,358.09 and 2,114.31

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Solution

The fourth proportional to 3,882.69, 5,358.09 and 2,114.31 is: 2,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.69 : 5,358.09 = 2,114.31 : x
  2. Step 2: Convert to fraction form
    3,882.69/5,358.09 = 2,114.31/x
  3. Step 3: Cross multiply
    3,882.69x = 5,358.09 × 2,114.31
  4. Step 4: Simplify right side
    3,882.69x = 11,328,663.27
  5. Step 5: Solve for x
    x = 11,328,663.27/3,882.69
  6. Step 6: Final answer
    x = 2,917.74

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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.