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Finding the Fourth Proportional to 3,452.80, 5,181 and 3,266.92

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Solution

The fourth proportional to 3,452.80, 5,181 and 3,266.92 is: 4,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.80 : 5,181 = 3,266.92 : x
  2. Step 2: Convert to fraction form
    3,452.80/5,181 = 3,266.92/x
  3. Step 3: Cross multiply
    3,452.80x = 5,181 × 3,266.92
  4. Step 4: Simplify right side
    3,452.80x = 16,925,912.52
  5. Step 5: Solve for x
    x = 16,925,912.52/3,452.80
  6. Step 6: Final answer
    x = 4,902.08

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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.