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Finding the Fourth Proportional to 5,760.96, 7,952.76 and 3,667.92

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Solution

The fourth proportional to 5,760.96, 7,952.76 and 3,667.92 is: 5,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 7,952.76 = 3,667.92 : x
  2. Step 2: Convert to fraction form
    5,760.96/7,952.76 = 3,667.92/x
  3. Step 3: Cross multiply
    5,760.96x = 7,952.76 × 3,667.92
  4. Step 4: Simplify right side
    5,760.96x = 29,170,087.46
  5. Step 5: Solve for x
    x = 29,170,087.46/5,760.96
  6. Step 6: Final answer
    x = 5,063.41

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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.