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Finding the Fourth Proportional to 3,446.25, 4,757.63 and 2,766.66

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Solution

The fourth proportional to 3,446.25, 4,757.63 and 2,766.66 is: 3,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.25 : 4,757.63 = 2,766.66 : x
  2. Step 2: Convert to fraction form
    3,446.25/4,757.63 = 2,766.66/x
  3. Step 3: Cross multiply
    3,446.25x = 4,757.63 × 2,766.66
  4. Step 4: Simplify right side
    3,446.25x = 13,162,744.62
  5. Step 5: Solve for x
    x = 13,162,744.62/3,446.25
  6. Step 6: Final answer
    x = 3,819.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.