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Finding the Fourth Proportional to 3,847.42, 5,305.89 and 2,855.17

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Solution

The fourth proportional to 3,847.42, 5,305.89 and 2,855.17 is: 3,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.42 : 5,305.89 = 2,855.17 : x
  2. Step 2: Convert to fraction form
    3,847.42/5,305.89 = 2,855.17/x
  3. Step 3: Cross multiply
    3,847.42x = 5,305.89 × 2,855.17
  4. Step 4: Simplify right side
    3,847.42x = 15,149,217.95
  5. Step 5: Solve for x
    x = 15,149,217.95/3,847.42
  6. Step 6: Final answer
    x = 3,937.50

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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.