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Finding the Fourth Proportional to 3,957.69, 5,936.73 and 1,766.43

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Solution

The fourth proportional to 3,957.69, 5,936.73 and 1,766.43 is: 2,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.69 : 5,936.73 = 1,766.43 : x
  2. Step 2: Convert to fraction form
    3,957.69/5,936.73 = 1,766.43/x
  3. Step 3: Cross multiply
    3,957.69x = 5,936.73 × 1,766.43
  4. Step 4: Simplify right side
    3,957.69x = 10,486,817.97
  5. Step 5: Solve for x
    x = 10,486,817.97/3,957.69
  6. Step 6: Final answer
    x = 2,649.73

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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.