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Finding the Fourth Proportional to 3,868.13, 5,338.02 and 2,189.50

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Solution

The fourth proportional to 3,868.13, 5,338.02 and 2,189.50 is: 3,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.13 : 5,338.02 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    3,868.13/5,338.02 = 2,189.50/x
  3. Step 3: Cross multiply
    3,868.13x = 5,338.02 × 2,189.50
  4. Step 4: Simplify right side
    3,868.13x = 11,687,594.79
  5. Step 5: Solve for x
    x = 11,687,594.79/3,868.13
  6. Step 6: Final answer
    x = 3,021.51

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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.