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Finding the Fourth Proportional to 3,965.73, 5,922.54 and 3,186.90

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Solution

The fourth proportional to 3,965.73, 5,922.54 and 3,186.90 is: 4,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.73 : 5,922.54 = 3,186.90 : x
  2. Step 2: Convert to fraction form
    3,965.73/5,922.54 = 3,186.90/x
  3. Step 3: Cross multiply
    3,965.73x = 5,922.54 × 3,186.90
  4. Step 4: Simplify right side
    3,965.73x = 18,874,542.73
  5. Step 5: Solve for x
    x = 18,874,542.73/3,965.73
  6. Step 6: Final answer
    x = 4,759.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.