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Finding the Fourth Proportional to 4,728.52, 7,082.22 and 3,427

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Solution

The fourth proportional to 4,728.52, 7,082.22 and 3,427 is: 5,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.52 : 7,082.22 = 3,427 : x
  2. Step 2: Convert to fraction form
    4,728.52/7,082.22 = 3,427/x
  3. Step 3: Cross multiply
    4,728.52x = 7,082.22 × 3,427
  4. Step 4: Simplify right side
    4,728.52x = 24,270,767.94
  5. Step 5: Solve for x
    x = 24,270,767.94/4,728.52
  6. Step 6: Final answer
    x = 5,132.85

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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.