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Finding the Fourth Proportional to 5,749.50, 7,934.33 and 3,231.53

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Solution

The fourth proportional to 5,749.50, 7,934.33 and 3,231.53 is: 4,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.50 : 7,934.33 = 3,231.53 : x
  2. Step 2: Convert to fraction form
    5,749.50/7,934.33 = 3,231.53/x
  3. Step 3: Cross multiply
    5,749.50x = 7,934.33 × 3,231.53
  4. Step 4: Simplify right side
    5,749.50x = 25,639,993.83
  5. Step 5: Solve for x
    x = 25,639,993.83/5,749.50
  6. Step 6: Final answer
    x = 4,459.52

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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.