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Finding the Fourth Proportional to 3,876.43, 5,814.88 and 1,279.37

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Solution

The fourth proportional to 3,876.43, 5,814.88 and 1,279.37 is: 1,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.43 : 5,814.88 = 1,279.37 : x
  2. Step 2: Convert to fraction form
    3,876.43/5,814.88 = 1,279.37/x
  3. Step 3: Cross multiply
    3,876.43x = 5,814.88 × 1,279.37
  4. Step 4: Simplify right side
    3,876.43x = 7,439,383.03
  5. Step 5: Solve for x
    x = 7,439,383.03/3,876.43
  6. Step 6: Final answer
    x = 1,919.13

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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.