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Finding the Fourth Proportional to 5,747.75, 7,932.08 and 3,230.34

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Solution

The fourth proportional to 5,747.75, 7,932.08 and 3,230.34 is: 4,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.75 : 7,932.08 = 3,230.34 : x
  2. Step 2: Convert to fraction form
    5,747.75/7,932.08 = 3,230.34/x
  3. Step 3: Cross multiply
    5,747.75x = 7,932.08 × 3,230.34
  4. Step 4: Simplify right side
    5,747.75x = 25,623,299.16
  5. Step 5: Solve for x
    x = 25,623,299.16/5,747.75
  6. Step 6: Final answer
    x = 4,457.97

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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.