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Finding the Fourth Proportional to 3,961.66, 5,467.13 and 2,193.43

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Solution

The fourth proportional to 3,961.66, 5,467.13 and 2,193.43 is: 3,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.66 : 5,467.13 = 2,193.43 : x
  2. Step 2: Convert to fraction form
    3,961.66/5,467.13 = 2,193.43/x
  3. Step 3: Cross multiply
    3,961.66x = 5,467.13 × 2,193.43
  4. Step 4: Simplify right side
    3,961.66x = 11,991,766.96
  5. Step 5: Solve for x
    x = 11,991,766.96/3,961.66
  6. Step 6: Final answer
    x = 3,026.96

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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.