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Finding the Fourth Proportional to 5,794.37, 7,996.24 and 3,141.76

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Solution

The fourth proportional to 5,794.37, 7,996.24 and 3,141.76 is: 4,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.37 : 7,996.24 = 3,141.76 : x
  2. Step 2: Convert to fraction form
    5,794.37/7,996.24 = 3,141.76/x
  3. Step 3: Cross multiply
    5,794.37x = 7,996.24 × 3,141.76
  4. Step 4: Simplify right side
    5,794.37x = 25,122,251.27
  5. Step 5: Solve for x
    x = 25,122,251.27/5,794.37
  6. Step 6: Final answer
    x = 4,335.63

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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.