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Finding the Fourth Proportional to 3,198.73, 4,414.16 and 3,104.41

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Solution

The fourth proportional to 3,198.73, 4,414.16 and 3,104.41 is: 4,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.73 : 4,414.16 = 3,104.41 : x
  2. Step 2: Convert to fraction form
    3,198.73/4,414.16 = 3,104.41/x
  3. Step 3: Cross multiply
    3,198.73x = 4,414.16 × 3,104.41
  4. Step 4: Simplify right side
    3,198.73x = 13,703,362.45
  5. Step 5: Solve for x
    x = 13,703,362.45/3,198.73
  6. Step 6: Final answer
    x = 4,284.00

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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.