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Finding the Fourth Proportional to 3,868.62, 5,338.59 and 2,189.97

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Solution

The fourth proportional to 3,868.62, 5,338.59 and 2,189.97 is: 3,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.62 : 5,338.59 = 2,189.97 : x
  2. Step 2: Convert to fraction form
    3,868.62/5,338.59 = 2,189.97/x
  3. Step 3: Cross multiply
    3,868.62x = 5,338.59 × 2,189.97
  4. Step 4: Simplify right side
    3,868.62x = 11,691,351.94
  5. Step 5: Solve for x
    x = 11,691,351.94/3,868.62
  6. Step 6: Final answer
    x = 3,022.10

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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.