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Finding the Fourth Proportional to 4,766.72, 7,151.02 and 3,380.56

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Solution

The fourth proportional to 4,766.72, 7,151.02 and 3,380.56 is: 5,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.72 : 7,151.02 = 3,380.56 : x
  2. Step 2: Convert to fraction form
    4,766.72/7,151.02 = 3,380.56/x
  3. Step 3: Cross multiply
    4,766.72x = 7,151.02 × 3,380.56
  4. Step 4: Simplify right side
    4,766.72x = 24,174,452.17
  5. Step 5: Solve for x
    x = 24,174,452.17/4,766.72
  6. Step 6: Final answer
    x = 5,071.51

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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.