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Finding the Fourth Proportional to 3,882.98, 5,358.61 and 2,114.68

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Solution

The fourth proportional to 3,882.98, 5,358.61 and 2,114.68 is: 2,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.98 : 5,358.61 = 2,114.68 : x
  2. Step 2: Convert to fraction form
    3,882.98/5,358.61 = 2,114.68/x
  3. Step 3: Cross multiply
    3,882.98x = 5,358.61 × 2,114.68
  4. Step 4: Simplify right side
    3,882.98x = 11,331,745.39
  5. Step 5: Solve for x
    x = 11,331,745.39/3,882.98
  6. Step 6: Final answer
    x = 2,918.31

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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.