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Finding the Fourth Proportional to 3,965.32, 5,472.44 and 2,197.09

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Solution

The fourth proportional to 3,965.32, 5,472.44 and 2,197.09 is: 3,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.32 : 5,472.44 = 2,197.09 : x
  2. Step 2: Convert to fraction form
    3,965.32/5,472.44 = 2,197.09/x
  3. Step 3: Cross multiply
    3,965.32x = 5,472.44 × 2,197.09
  4. Step 4: Simplify right side
    3,965.32x = 12,023,443.20
  5. Step 5: Solve for x
    x = 12,023,443.20/3,965.32
  6. Step 6: Final answer
    x = 3,032.15

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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.