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Finding the Fourth Proportional to 3,923.32, 5,414.16 and 2,351.42

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Solution

The fourth proportional to 3,923.32, 5,414.16 and 2,351.42 is: 3,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.32 : 5,414.16 = 2,351.42 : x
  2. Step 2: Convert to fraction form
    3,923.32/5,414.16 = 2,351.42/x
  3. Step 3: Cross multiply
    3,923.32x = 5,414.16 × 2,351.42
  4. Step 4: Simplify right side
    3,923.32x = 12,730,945.85
  5. Step 5: Solve for x
    x = 12,730,945.85/3,923.32
  6. Step 6: Final answer
    x = 3,244.94

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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.