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Finding the Fourth Proportional to 5,786.29, 7,984.92 and 3,428.43

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Solution

The fourth proportional to 5,786.29, 7,984.92 and 3,428.43 is: 4,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.29 : 7,984.92 = 3,428.43 : x
  2. Step 2: Convert to fraction form
    5,786.29/7,984.92 = 3,428.43/x
  3. Step 3: Cross multiply
    5,786.29x = 7,984.92 × 3,428.43
  4. Step 4: Simplify right side
    5,786.29x = 27,375,739.28
  5. Step 5: Solve for x
    x = 27,375,739.28/5,786.29
  6. Step 6: Final answer
    x = 4,731.14

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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.