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Finding the Fourth Proportional to 3,874.27, 5,350.85 and 3,000.64

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Solution

The fourth proportional to 3,874.27, 5,350.85 and 3,000.64 is: 4,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.27 : 5,350.85 = 3,000.64 : x
  2. Step 2: Convert to fraction form
    3,874.27/5,350.85 = 3,000.64/x
  3. Step 3: Cross multiply
    3,874.27x = 5,350.85 × 3,000.64
  4. Step 4: Simplify right side
    3,874.27x = 16,055,974.54
  5. Step 5: Solve for x
    x = 16,055,974.54/3,874.27
  6. Step 6: Final answer
    x = 4,144.26

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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.