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Finding the Fourth Proportional to 5,784.27, 7,982.30 and 3,131.68

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Solution

The fourth proportional to 5,784.27, 7,982.30 and 3,131.68 is: 4,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.27 : 7,982.30 = 3,131.68 : x
  2. Step 2: Convert to fraction form
    5,784.27/7,982.30 = 3,131.68/x
  3. Step 3: Cross multiply
    5,784.27x = 7,982.30 × 3,131.68
  4. Step 4: Simplify right side
    5,784.27x = 24,998,009.26
  5. Step 5: Solve for x
    x = 24,998,009.26/5,784.27
  6. Step 6: Final answer
    x = 4,321.72

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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.