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Finding the Fourth Proportional to 3,960.40, 5,930.34 and 2,657.92

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Solution

The fourth proportional to 3,960.40, 5,930.34 and 2,657.92 is: 3,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.40 : 5,930.34 = 2,657.92 : x
  2. Step 2: Convert to fraction form
    3,960.40/5,930.34 = 2,657.92/x
  3. Step 3: Cross multiply
    3,960.40x = 5,930.34 × 2,657.92
  4. Step 4: Simplify right side
    3,960.40x = 15,762,369.29
  5. Step 5: Solve for x
    x = 15,762,369.29/3,960.40
  6. Step 6: Final answer
    x = 3,979.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.