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Finding the Fourth Proportional to 3,965.40, 5,472.39 and 2,197.03

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Solution

The fourth proportional to 3,965.40, 5,472.39 and 2,197.03 is: 3,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.40 : 5,472.39 = 2,197.03 : x
  2. Step 2: Convert to fraction form
    3,965.40/5,472.39 = 2,197.03/x
  3. Step 3: Cross multiply
    3,965.40x = 5,472.39 × 2,197.03
  4. Step 4: Simplify right side
    3,965.40x = 12,023,005.00
  5. Step 5: Solve for x
    x = 12,023,005.00/3,965.40
  6. Step 6: Final answer
    x = 3,031.98

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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.