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Finding the Fourth Proportional to 3,961.46, 5,942.28 and 1,328.96

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Solution

The fourth proportional to 3,961.46, 5,942.28 and 1,328.96 is: 1,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.46 : 5,942.28 = 1,328.96 : x
  2. Step 2: Convert to fraction form
    3,961.46/5,942.28 = 1,328.96/x
  3. Step 3: Cross multiply
    3,961.46x = 5,942.28 × 1,328.96
  4. Step 4: Simplify right side
    3,961.46x = 7,897,052.43
  5. Step 5: Solve for x
    x = 7,897,052.43/3,961.46
  6. Step 6: Final answer
    x = 1,993.47

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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.