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Finding the Fourth Proportional to 5,712.27, 7,882.29 and 3,193.77

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Solution

The fourth proportional to 5,712.27, 7,882.29 and 3,193.77 is: 4,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.27 : 7,882.29 = 3,193.77 : x
  2. Step 2: Convert to fraction form
    5,712.27/7,882.29 = 3,193.77/x
  3. Step 3: Cross multiply
    5,712.27x = 7,882.29 × 3,193.77
  4. Step 4: Simplify right side
    5,712.27x = 25,174,221.33
  5. Step 5: Solve for x
    x = 25,174,221.33/5,712.27
  6. Step 6: Final answer
    x = 4,407.04

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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.