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Finding the Fourth Proportional to 5,784.48, 7,982.54 and 3,131.88

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Solution

The fourth proportional to 5,784.48, 7,982.54 and 3,131.88 is: 4,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.48 : 7,982.54 = 3,131.88 : x
  2. Step 2: Convert to fraction form
    5,784.48/7,982.54 = 3,131.88/x
  3. Step 3: Cross multiply
    5,784.48x = 7,982.54 × 3,131.88
  4. Step 4: Simplify right side
    5,784.48x = 25,000,345.25
  5. Step 5: Solve for x
    x = 25,000,345.25/5,784.48
  6. Step 6: Final answer
    x = 4,321.97

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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.