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Finding the Fourth Proportional to 3,238.75, 4,469.48 and 1,996.75

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Solution

The fourth proportional to 3,238.75, 4,469.48 and 1,996.75 is: 2,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.75 : 4,469.48 = 1,996.75 : x
  2. Step 2: Convert to fraction form
    3,238.75/4,469.48 = 1,996.75/x
  3. Step 3: Cross multiply
    3,238.75x = 4,469.48 × 1,996.75
  4. Step 4: Simplify right side
    3,238.75x = 8,924,434.19
  5. Step 5: Solve for x
    x = 8,924,434.19/3,238.75
  6. Step 6: Final answer
    x = 2,755.52

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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.