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Finding the Fourth Proportional to 3,543.57, 5,314.82 and 2,138.76

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Solution

The fourth proportional to 3,543.57, 5,314.82 and 2,138.76 is: 3,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.57 : 5,314.82 = 2,138.76 : x
  2. Step 2: Convert to fraction form
    3,543.57/5,314.82 = 2,138.76/x
  3. Step 3: Cross multiply
    3,543.57x = 5,314.82 × 2,138.76
  4. Step 4: Simplify right side
    3,543.57x = 11,367,113.73
  5. Step 5: Solve for x
    x = 11,367,113.73/3,543.57
  6. Step 6: Final answer
    x = 3,207.81

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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.