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Finding the Fourth Proportional to 3,944.68, 5,912.16 and 2,188.20

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Solution

The fourth proportional to 3,944.68, 5,912.16 and 2,188.20 is: 3,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.68 : 5,912.16 = 2,188.20 : x
  2. Step 2: Convert to fraction form
    3,944.68/5,912.16 = 2,188.20/x
  3. Step 3: Cross multiply
    3,944.68x = 5,912.16 × 2,188.20
  4. Step 4: Simplify right side
    3,944.68x = 12,936,988.51
  5. Step 5: Solve for x
    x = 12,936,988.51/3,944.68
  6. Step 6: Final answer
    x = 3,279.60

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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.