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Finding the Fourth Proportional to 4,517.78, 6,773.19 and 2,294.78

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Solution

The fourth proportional to 4,517.78, 6,773.19 and 2,294.78 is: 3,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.78 : 6,773.19 = 2,294.78 : x
  2. Step 2: Convert to fraction form
    4,517.78/6,773.19 = 2,294.78/x
  3. Step 3: Cross multiply
    4,517.78x = 6,773.19 × 2,294.78
  4. Step 4: Simplify right side
    4,517.78x = 15,542,981.42
  5. Step 5: Solve for x
    x = 15,542,981.42/4,517.78
  6. Step 6: Final answer
    x = 3,440.41

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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.