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Finding the Fourth Proportional to 3,965.46, 5,472.27 and 2,197.05

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Solution

The fourth proportional to 3,965.46, 5,472.27 and 2,197.05 is: 3,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.46 : 5,472.27 = 2,197.05 : x
  2. Step 2: Convert to fraction form
    3,965.46/5,472.27 = 2,197.05/x
  3. Step 3: Cross multiply
    3,965.46x = 5,472.27 × 2,197.05
  4. Step 4: Simplify right side
    3,965.46x = 12,022,850.80
  5. Step 5: Solve for x
    x = 12,022,850.80/3,965.46
  6. Step 6: Final answer
    x = 3,031.89

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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.