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Finding the Fourth Proportional to 3,974.72, 5,965.97 and 3,320.80

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Solution

The fourth proportional to 3,974.72, 5,965.97 and 3,320.80 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.72 : 5,965.97 = 3,320.80 : x
  2. Step 2: Convert to fraction form
    3,974.72/5,965.97 = 3,320.80/x
  3. Step 3: Cross multiply
    3,974.72x = 5,965.97 × 3,320.80
  4. Step 4: Simplify right side
    3,974.72x = 19,811,761.66
  5. Step 5: Solve for x
    x = 19,811,761.66/3,974.72
  6. Step 6: Final answer
    x = 4,984.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.