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Finding the Fourth Proportional to 4,543.38, 6,810.17 and 2,198.43

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Solution

The fourth proportional to 4,543.38, 6,810.17 and 2,198.43 is: 3,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.38 : 6,810.17 = 2,198.43 : x
  2. Step 2: Convert to fraction form
    4,543.38/6,810.17 = 2,198.43/x
  3. Step 3: Cross multiply
    4,543.38x = 6,810.17 × 2,198.43
  4. Step 4: Simplify right side
    4,543.38x = 14,971,671.04
  5. Step 5: Solve for x
    x = 14,971,671.04/4,543.38
  6. Step 6: Final answer
    x = 3,295.27

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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.