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Finding the Fourth Proportional to 3,446.44, 4,754.82 and 2,205.16

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Solution

The fourth proportional to 3,446.44, 4,754.82 and 2,205.16 is: 3,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.44 : 4,754.82 = 2,205.16 : x
  2. Step 2: Convert to fraction form
    3,446.44/4,754.82 = 2,205.16/x
  3. Step 3: Cross multiply
    3,446.44x = 4,754.82 × 2,205.16
  4. Step 4: Simplify right side
    3,446.44x = 10,485,138.87
  5. Step 5: Solve for x
    x = 10,485,138.87/3,446.44
  6. Step 6: Final answer
    x = 3,042.31

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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.