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Finding the Fourth Proportional to 3,919.78, 5,879.72 and 998.09

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Solution

The fourth proportional to 3,919.78, 5,879.72 and 998.09 is: 1,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.78 : 5,879.72 = 998.09 : x
  2. Step 2: Convert to fraction form
    3,919.78/5,879.72 = 998.09/x
  3. Step 3: Cross multiply
    3,919.78x = 5,879.72 × 998.09
  4. Step 4: Simplify right side
    3,919.78x = 5,868,489.73
  5. Step 5: Solve for x
    x = 5,868,489.73/3,919.78
  6. Step 6: Final answer
    x = 1,497.15

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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.