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Finding the Fourth Proportional to 4,766.78, 7,149.63 and 3,375.74

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Solution

The fourth proportional to 4,766.78, 7,149.63 and 3,375.74 is: 5,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.78 : 7,149.63 = 3,375.74 : x
  2. Step 2: Convert to fraction form
    4,766.78/7,149.63 = 3,375.74/x
  3. Step 3: Cross multiply
    4,766.78x = 7,149.63 × 3,375.74
  4. Step 4: Simplify right side
    4,766.78x = 24,135,291.98
  5. Step 5: Solve for x
    x = 24,135,291.98/4,766.78
  6. Step 6: Final answer
    x = 5,063.23

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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.