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Finding the Fourth Proportional to 3,965.80, 5,472.39 and 2,197.36

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Solution

The fourth proportional to 3,965.80, 5,472.39 and 2,197.36 is: 3,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.80 : 5,472.39 = 2,197.36 : x
  2. Step 2: Convert to fraction form
    3,965.80/5,472.39 = 2,197.36/x
  3. Step 3: Cross multiply
    3,965.80x = 5,472.39 × 2,197.36
  4. Step 4: Simplify right side
    3,965.80x = 12,024,810.89
  5. Step 5: Solve for x
    x = 12,024,810.89/3,965.80
  6. Step 6: Final answer
    x = 3,032.13

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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.