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Finding the Fourth Proportional to 3,868.47, 5,338.26 and 2,189.94

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Solution

The fourth proportional to 3,868.47, 5,338.26 and 2,189.94 is: 3,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.47 : 5,338.26 = 2,189.94 : x
  2. Step 2: Convert to fraction form
    3,868.47/5,338.26 = 2,189.94/x
  3. Step 3: Cross multiply
    3,868.47x = 5,338.26 × 2,189.94
  4. Step 4: Simplify right side
    3,868.47x = 11,690,469.10
  5. Step 5: Solve for x
    x = 11,690,469.10/3,868.47
  6. Step 6: Final answer
    x = 3,021.99

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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.