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Finding the Fourth Proportional to 3,778.68, 5,213.61 and 2,205.87

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Solution

The fourth proportional to 3,778.68, 5,213.61 and 2,205.87 is: 3,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.68 : 5,213.61 = 2,205.87 : x
  2. Step 2: Convert to fraction form
    3,778.68/5,213.61 = 2,205.87/x
  3. Step 3: Cross multiply
    3,778.68x = 5,213.61 × 2,205.87
  4. Step 4: Simplify right side
    3,778.68x = 11,500,545.89
  5. Step 5: Solve for x
    x = 11,500,545.89/3,778.68
  6. Step 6: Final answer
    x = 3,043.54

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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.