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Finding the Fourth Proportional to 4,906.56, 6,769.44 and 3,043.20

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Solution

The fourth proportional to 4,906.56, 6,769.44 and 3,043.20 is: 4,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.56 : 6,769.44 = 3,043.20 : x
  2. Step 2: Convert to fraction form
    4,906.56/6,769.44 = 3,043.20/x
  3. Step 3: Cross multiply
    4,906.56x = 6,769.44 × 3,043.20
  4. Step 4: Simplify right side
    4,906.56x = 20,600,759.81
  5. Step 5: Solve for x
    x = 20,600,759.81/4,906.56
  6. Step 6: Final answer
    x = 4,198.62

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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.