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Finding the Fourth Proportional to 4,061, 5,604.18 and 2,198

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Solution

The fourth proportional to 4,061, 5,604.18 and 2,198 is: 3,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061 : 5,604.18 = 2,198 : x
  2. Step 2: Convert to fraction form
    4,061/5,604.18 = 2,198/x
  3. Step 3: Cross multiply
    4,061x = 5,604.18 × 2,198
  4. Step 4: Simplify right side
    4,061x = 12,317,987.64
  5. Step 5: Solve for x
    x = 12,317,987.64/4,061
  6. Step 6: Final answer
    x = 3,033.24

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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.