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Finding the Fourth Proportional to 3,957.65, 5,933.39 and 1,982.27

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Solution

The fourth proportional to 3,957.65, 5,933.39 and 1,982.27 is: 2,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.65 : 5,933.39 = 1,982.27 : x
  2. Step 2: Convert to fraction form
    3,957.65/5,933.39 = 1,982.27/x
  3. Step 3: Cross multiply
    3,957.65x = 5,933.39 × 1,982.27
  4. Step 4: Simplify right side
    3,957.65x = 11,761,556.28
  5. Step 5: Solve for x
    x = 11,761,556.28/3,957.65
  6. Step 6: Final answer
    x = 2,971.85

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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.