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Finding the Fourth Proportional to 3,961.61, 5,467.07 and 2,193.25

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Solution

The fourth proportional to 3,961.61, 5,467.07 and 2,193.25 is: 3,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.61 : 5,467.07 = 2,193.25 : x
  2. Step 2: Convert to fraction form
    3,961.61/5,467.07 = 2,193.25/x
  3. Step 3: Cross multiply
    3,961.61x = 5,467.07 × 2,193.25
  4. Step 4: Simplify right side
    3,961.61x = 11,990,640.31
  5. Step 5: Solve for x
    x = 11,990,640.31/3,961.61
  6. Step 6: Final answer
    x = 3,026.71

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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.