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Finding the Fourth Proportional to 3,847.74, 5,286.80 and 3,060.42

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Solution

The fourth proportional to 3,847.74, 5,286.80 and 3,060.42 is: 4,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.74 : 5,286.80 = 3,060.42 : x
  2. Step 2: Convert to fraction form
    3,847.74/5,286.80 = 3,060.42/x
  3. Step 3: Cross multiply
    3,847.74x = 5,286.80 × 3,060.42
  4. Step 4: Simplify right side
    3,847.74x = 16,179,813.15
  5. Step 5: Solve for x
    x = 16,179,813.15/3,847.74
  6. Step 6: Final answer
    x = 4,205.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.