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Finding the Fourth Proportional to 5,939.49, 8,909.23 and 2,431.14

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Solution

The fourth proportional to 5,939.49, 8,909.23 and 2,431.14 is: 3,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.49 : 8,909.23 = 2,431.14 : x
  2. Step 2: Convert to fraction form
    5,939.49/8,909.23 = 2,431.14/x
  3. Step 3: Cross multiply
    5,939.49x = 8,909.23 × 2,431.14
  4. Step 4: Simplify right side
    5,939.49x = 21,659,585.42
  5. Step 5: Solve for x
    x = 21,659,585.42/5,939.49
  6. Step 6: Final answer
    x = 3,646.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.