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Finding the Fourth Proportional to 5,149.74, 7,734.96 and 3,073.80

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Solution

The fourth proportional to 5,149.74, 7,734.96 and 3,073.80 is: 4,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.74 : 7,734.96 = 3,073.80 : x
  2. Step 2: Convert to fraction form
    5,149.74/7,734.96 = 3,073.80/x
  3. Step 3: Cross multiply
    5,149.74x = 7,734.96 × 3,073.80
  4. Step 4: Simplify right side
    5,149.74x = 23,775,720.05
  5. Step 5: Solve for x
    x = 23,775,720.05/5,149.74
  6. Step 6: Final answer
    x = 4,616.88

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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.