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Finding the Fourth Proportional to 3,632, 5,012.16 and 1,976

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Solution

The fourth proportional to 3,632, 5,012.16 and 1,976 is: 2,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632 : 5,012.16 = 1,976 : x
  2. Step 2: Convert to fraction form
    3,632/5,012.16 = 1,976/x
  3. Step 3: Cross multiply
    3,632x = 5,012.16 × 1,976
  4. Step 4: Simplify right side
    3,632x = 9,904,028.16
  5. Step 5: Solve for x
    x = 9,904,028.16/3,632
  6. Step 6: Final answer
    x = 2,726.88

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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.