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Finding the Fourth Proportional to 5,105.64, 7,660.60 and 2,794.44

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Solution

The fourth proportional to 5,105.64, 7,660.60 and 2,794.44 is: 4,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.64 : 7,660.60 = 2,794.44 : x
  2. Step 2: Convert to fraction form
    5,105.64/7,660.60 = 2,794.44/x
  3. Step 3: Cross multiply
    5,105.64x = 7,660.60 × 2,794.44
  4. Step 4: Simplify right side
    5,105.64x = 21,407,087.06
  5. Step 5: Solve for x
    x = 21,407,087.06/5,105.64
  6. Step 6: Final answer
    x = 4,192.83

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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.