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Finding the Fourth Proportional to 3,986.32, 5,500.24 and 2,414.38

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Solution

The fourth proportional to 3,986.32, 5,500.24 and 2,414.38 is: 3,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.32 : 5,500.24 = 2,414.38 : x
  2. Step 2: Convert to fraction form
    3,986.32/5,500.24 = 2,414.38/x
  3. Step 3: Cross multiply
    3,986.32x = 5,500.24 × 2,414.38
  4. Step 4: Simplify right side
    3,986.32x = 13,279,669.45
  5. Step 5: Solve for x
    x = 13,279,669.45/3,986.32
  6. Step 6: Final answer
    x = 3,331.31

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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.