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Finding the Fourth Proportional to 5,784.28, 7,982.30 and 3,131.69

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Solution

The fourth proportional to 5,784.28, 7,982.30 and 3,131.69 is: 4,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.28 : 7,982.30 = 3,131.69 : x
  2. Step 2: Convert to fraction form
    5,784.28/7,982.30 = 3,131.69/x
  3. Step 3: Cross multiply
    5,784.28x = 7,982.30 × 3,131.69
  4. Step 4: Simplify right side
    5,784.28x = 24,998,049.18
  5. Step 5: Solve for x
    x = 24,998,049.18/5,784.28
  6. Step 6: Final answer
    x = 4,321.73

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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.