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Finding the Fourth Proportional to 3,961.78, 5,467.67 and 2,965.31

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Solution

The fourth proportional to 3,961.78, 5,467.67 and 2,965.31 is: 4,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.78 : 5,467.67 = 2,965.31 : x
  2. Step 2: Convert to fraction form
    3,961.78/5,467.67 = 2,965.31/x
  3. Step 3: Cross multiply
    3,961.78x = 5,467.67 × 2,965.31
  4. Step 4: Simplify right side
    3,961.78x = 16,213,325.99
  5. Step 5: Solve for x
    x = 16,213,325.99/3,961.78
  6. Step 6: Final answer
    x = 4,092.44

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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.