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Finding the Fourth Proportional to 5,784.22, 7,982.25 and 3,131.65

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Solution

The fourth proportional to 5,784.22, 7,982.25 and 3,131.65 is: 4,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.22 : 7,982.25 = 3,131.65 : x
  2. Step 2: Convert to fraction form
    5,784.22/7,982.25 = 3,131.65/x
  3. Step 3: Cross multiply
    5,784.22x = 7,982.25 × 3,131.65
  4. Step 4: Simplify right side
    5,784.22x = 24,997,613.21
  5. Step 5: Solve for x
    x = 24,997,613.21/5,784.22
  6. Step 6: Final answer
    x = 4,321.69

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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.