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Finding the Fourth Proportional to 3,939.70, 5,435.49 and 2,446.78

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Solution

The fourth proportional to 3,939.70, 5,435.49 and 2,446.78 is: 3,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.70 : 5,435.49 = 2,446.78 : x
  2. Step 2: Convert to fraction form
    3,939.70/5,435.49 = 2,446.78/x
  3. Step 3: Cross multiply
    3,939.70x = 5,435.49 × 2,446.78
  4. Step 4: Simplify right side
    3,939.70x = 13,299,448.22
  5. Step 5: Solve for x
    x = 13,299,448.22/3,939.70
  6. Step 6: Final answer
    x = 3,375.75

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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.