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Finding the Fourth Proportional to 3,868.46, 5,338.50 and 2,189.93

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Solution

The fourth proportional to 3,868.46, 5,338.50 and 2,189.93 is: 3,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.46 : 5,338.50 = 2,189.93 : x
  2. Step 2: Convert to fraction form
    3,868.46/5,338.50 = 2,189.93/x
  3. Step 3: Cross multiply
    3,868.46x = 5,338.50 × 2,189.93
  4. Step 4: Simplify right side
    3,868.46x = 11,690,941.31
  5. Step 5: Solve for x
    x = 11,690,941.31/3,868.46
  6. Step 6: Final answer
    x = 3,022.12

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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.