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Finding the Fourth Proportional to 3,734, 5,601 and 998

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Solution

The fourth proportional to 3,734, 5,601 and 998 is: 1,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734 : 5,601 = 998 : x
  2. Step 2: Convert to fraction form
    3,734/5,601 = 998/x
  3. Step 3: Cross multiply
    3,734x = 5,601 × 998
  4. Step 4: Simplify right side
    3,734x = 5,589,798
  5. Step 5: Solve for x
    x = 5,589,798/3,734
  6. Step 6: Final answer
    x = 1,497

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.