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Finding the Fourth Proportional to 3,876.05, 5,814.77 and 1,414.32

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Solution

The fourth proportional to 3,876.05, 5,814.77 and 1,414.32 is: 2,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.05 : 5,814.77 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    3,876.05/5,814.77 = 1,414.32/x
  3. Step 3: Cross multiply
    3,876.05x = 5,814.77 × 1,414.32
  4. Step 4: Simplify right side
    3,876.05x = 8,223,938.43
  5. Step 5: Solve for x
    x = 8,223,938.43/3,876.05
  6. Step 6: Final answer
    x = 2,121.73

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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.