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Finding the Fourth Proportional to 5,796.30, 7,996.78 and 3,807.92

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Solution

The fourth proportional to 5,796.30, 7,996.78 and 3,807.92 is: 5,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.30 : 7,996.78 = 3,807.92 : x
  2. Step 2: Convert to fraction form
    5,796.30/7,996.78 = 3,807.92/x
  3. Step 3: Cross multiply
    5,796.30x = 7,996.78 × 3,807.92
  4. Step 4: Simplify right side
    5,796.30x = 30,451,098.50
  5. Step 5: Solve for x
    x = 30,451,098.50/5,796.30
  6. Step 6: Final answer
    x = 5,253.54

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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.