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Finding the Fourth Proportional to 3,997, 5,995.50 and 1,689.04

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Solution

The fourth proportional to 3,997, 5,995.50 and 1,689.04 is: 2,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997 : 5,995.50 = 1,689.04 : x
  2. Step 2: Convert to fraction form
    3,997/5,995.50 = 1,689.04/x
  3. Step 3: Cross multiply
    3,997x = 5,995.50 × 1,689.04
  4. Step 4: Simplify right side
    3,997x = 10,126,639.32
  5. Step 5: Solve for x
    x = 10,126,639.32/3,997
  6. Step 6: Final answer
    x = 2,533.56

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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.