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Finding the Fourth Proportional to 5,736, 7,915.68 and 3,252

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Solution

The fourth proportional to 5,736, 7,915.68 and 3,252 is: 4,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 7,915.68 = 3,252 : x
  2. Step 2: Convert to fraction form
    5,736/7,915.68 = 3,252/x
  3. Step 3: Cross multiply
    5,736x = 7,915.68 × 3,252
  4. Step 4: Simplify right side
    5,736x = 25,741,791.36
  5. Step 5: Solve for x
    x = 25,741,791.36/5,736
  6. Step 6: Final answer
    x = 4,487.76

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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.