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Finding the Fourth Proportional to 3,876.57, 5,815.67 and 1,279.51

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Solution

The fourth proportional to 3,876.57, 5,815.67 and 1,279.51 is: 1,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.57 : 5,815.67 = 1,279.51 : x
  2. Step 2: Convert to fraction form
    3,876.57/5,815.67 = 1,279.51/x
  3. Step 3: Cross multiply
    3,876.57x = 5,815.67 × 1,279.51
  4. Step 4: Simplify right side
    3,876.57x = 7,441,186.98
  5. Step 5: Solve for x
    x = 7,441,186.98/3,876.57
  6. Step 6: Final answer
    x = 1,919.53

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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.