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Finding the Fourth Proportional to 5,749.62, 7,934.63 and 3,231.96

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Solution

The fourth proportional to 5,749.62, 7,934.63 and 3,231.96 is: 4,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.62 : 7,934.63 = 3,231.96 : x
  2. Step 2: Convert to fraction form
    5,749.62/7,934.63 = 3,231.96/x
  3. Step 3: Cross multiply
    5,749.62x = 7,934.63 × 3,231.96
  4. Step 4: Simplify right side
    5,749.62x = 25,644,360.86
  5. Step 5: Solve for x
    x = 25,644,360.86/5,749.62
  6. Step 6: Final answer
    x = 4,460.19

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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.