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Finding the Fourth Proportional to 5,632, 7,772.48 and 3,148.16

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Solution

The fourth proportional to 5,632, 7,772.48 and 3,148.16 is: 4,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632 : 7,772.48 = 3,148.16 : x
  2. Step 2: Convert to fraction form
    5,632/7,772.48 = 3,148.16/x
  3. Step 3: Cross multiply
    5,632x = 7,772.48 × 3,148.16
  4. Step 4: Simplify right side
    5,632x = 24,469,010.64
  5. Step 5: Solve for x
    x = 24,469,010.64/5,632
  6. Step 6: Final answer
    x = 4,344.64

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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.