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Finding the Fourth Proportional to 5,749.67, 7,934.49 and 3,231.83

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Solution

The fourth proportional to 5,749.67, 7,934.49 and 3,231.83 is: 4,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.67 : 7,934.49 = 3,231.83 : x
  2. Step 2: Convert to fraction form
    5,749.67/7,934.49 = 3,231.83/x
  3. Step 3: Cross multiply
    5,749.67x = 7,934.49 × 3,231.83
  4. Step 4: Simplify right side
    5,749.67x = 25,642,883.14
  5. Step 5: Solve for x
    x = 25,642,883.14/5,749.67
  6. Step 6: Final answer
    x = 4,459.89

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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.