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Finding the Fourth Proportional to 3,868.47, 5,338.14 and 2,189.79

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Solution

The fourth proportional to 3,868.47, 5,338.14 and 2,189.79 is: 3,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.47 : 5,338.14 = 2,189.79 : x
  2. Step 2: Convert to fraction form
    3,868.47/5,338.14 = 2,189.79/x
  3. Step 3: Cross multiply
    3,868.47x = 5,338.14 × 2,189.79
  4. Step 4: Simplify right side
    3,868.47x = 11,689,405.59
  5. Step 5: Solve for x
    x = 11,689,405.59/3,868.47
  6. Step 6: Final answer
    x = 3,021.71

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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.