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Finding the Fourth Proportional to 5,794.88, 7,996.92 and 3,142.29

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Solution

The fourth proportional to 5,794.88, 7,996.92 and 3,142.29 is: 4,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.88 : 7,996.92 = 3,142.29 : x
  2. Step 2: Convert to fraction form
    5,794.88/7,996.92 = 3,142.29/x
  3. Step 3: Cross multiply
    5,794.88x = 7,996.92 × 3,142.29
  4. Step 4: Simplify right side
    5,794.88x = 25,128,641.75
  5. Step 5: Solve for x
    x = 25,128,641.75/5,794.88
  6. Step 6: Final answer
    x = 4,336.36

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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.