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Finding the Fourth Proportional to 3,961.64, 5,467.11 and 2,193.27

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Solution

The fourth proportional to 3,961.64, 5,467.11 and 2,193.27 is: 3,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.64 : 5,467.11 = 2,193.27 : x
  2. Step 2: Convert to fraction form
    3,961.64/5,467.11 = 2,193.27/x
  3. Step 3: Cross multiply
    3,961.64x = 5,467.11 × 2,193.27
  4. Step 4: Simplify right side
    3,961.64x = 11,990,848.35
  5. Step 5: Solve for x
    x = 11,990,848.35/3,961.64
  6. Step 6: Final answer
    x = 3,026.74

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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.