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Finding the Fourth Proportional to 5,983.50, 8,257.42 and 3,744.66

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Solution

The fourth proportional to 5,983.50, 8,257.42 and 3,744.66 is: 5,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.50 : 8,257.42 = 3,744.66 : x
  2. Step 2: Convert to fraction form
    5,983.50/8,257.42 = 3,744.66/x
  3. Step 3: Cross multiply
    5,983.50x = 8,257.42 × 3,744.66
  4. Step 4: Simplify right side
    5,983.50x = 30,921,230.38
  5. Step 5: Solve for x
    x = 30,921,230.38/5,983.50
  6. Step 6: Final answer
    x = 5,167.75

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1.5x scale

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.