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Finding the Fourth Proportional to 5,695.75, 8,542.81 and 1,997.83

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Solution

The fourth proportional to 5,695.75, 8,542.81 and 1,997.83 is: 2,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.75 : 8,542.81 = 1,997.83 : x
  2. Step 2: Convert to fraction form
    5,695.75/8,542.81 = 1,997.83/x
  3. Step 3: Cross multiply
    5,695.75x = 8,542.81 × 1,997.83
  4. Step 4: Simplify right side
    5,695.75x = 17,067,082.10
  5. Step 5: Solve for x
    x = 17,067,082.10/5,695.75
  6. Step 6: Final answer
    x = 2,996.46

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1.5x scale

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.