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Finding the Fourth Proportional to 3,843.80, 5,757.60 and 3,433.40

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Solution

The fourth proportional to 3,843.80, 5,757.60 and 3,433.40 is: 5,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.80 : 5,757.60 = 3,433.40 : x
  2. Step 2: Convert to fraction form
    3,843.80/5,757.60 = 3,433.40/x
  3. Step 3: Cross multiply
    3,843.80x = 5,757.60 × 3,433.40
  4. Step 4: Simplify right side
    3,843.80x = 19,768,143.84
  5. Step 5: Solve for x
    x = 19,768,143.84/3,843.80
  6. Step 6: Final answer
    x = 5,142.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.