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Finding the Fourth Proportional to 3,399.89, 4,691.14 and 2,282.24

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Solution

The fourth proportional to 3,399.89, 4,691.14 and 2,282.24 is: 3,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.89 : 4,691.14 = 2,282.24 : x
  2. Step 2: Convert to fraction form
    3,399.89/4,691.14 = 2,282.24/x
  3. Step 3: Cross multiply
    3,399.89x = 4,691.14 × 2,282.24
  4. Step 4: Simplify right side
    3,399.89x = 10,706,313.38
  5. Step 5: Solve for x
    x = 10,706,313.38/3,399.89
  6. Step 6: Final answer
    x = 3,149.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.