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Finding the Fourth Proportional to 5,749.96, 7,934.34 and 3,231.66

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Solution

The fourth proportional to 5,749.96, 7,934.34 and 3,231.66 is: 4,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.96 : 7,934.34 = 3,231.66 : x
  2. Step 2: Convert to fraction form
    5,749.96/7,934.34 = 3,231.66/x
  3. Step 3: Cross multiply
    5,749.96x = 7,934.34 × 3,231.66
  4. Step 4: Simplify right side
    5,749.96x = 25,641,089.20
  5. Step 5: Solve for x
    x = 25,641,089.20/5,749.96
  6. Step 6: Final answer
    x = 4,459.35

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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.