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Finding the Fourth Proportional to 3,771.68, 5,205.42 and 2,279.66

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Solution

The fourth proportional to 3,771.68, 5,205.42 and 2,279.66 is: 3,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.68 : 5,205.42 = 2,279.66 : x
  2. Step 2: Convert to fraction form
    3,771.68/5,205.42 = 2,279.66/x
  3. Step 3: Cross multiply
    3,771.68x = 5,205.42 × 2,279.66
  4. Step 4: Simplify right side
    3,771.68x = 11,866,561.73
  5. Step 5: Solve for x
    x = 11,866,561.73/3,771.68
  6. Step 6: Final answer
    x = 3,146.23

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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.