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Finding the Fourth Proportional to 5,747.72, 8,621.17 and 2,049.53

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Solution

The fourth proportional to 5,747.72, 8,621.17 and 2,049.53 is: 3,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.72 : 8,621.17 = 2,049.53 : x
  2. Step 2: Convert to fraction form
    5,747.72/8,621.17 = 2,049.53/x
  3. Step 3: Cross multiply
    5,747.72x = 8,621.17 × 2,049.53
  4. Step 4: Simplify right side
    5,747.72x = 17,669,346.55
  5. Step 5: Solve for x
    x = 17,669,346.55/5,747.72
  6. Step 6: Final answer
    x = 3,074.15

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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.