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Finding the Fourth Proportional to 3,766.50, 5,197.77 and 2,194.59

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Solution

The fourth proportional to 3,766.50, 5,197.77 and 2,194.59 is: 3,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 5,197.77 = 2,194.59 : x
  2. Step 2: Convert to fraction form
    3,766.50/5,197.77 = 2,194.59/x
  3. Step 3: Cross multiply
    3,766.50x = 5,197.77 × 2,194.59
  4. Step 4: Simplify right side
    3,766.50x = 11,406,993.56
  5. Step 5: Solve for x
    x = 11,406,993.56/3,766.50
  6. Step 6: Final answer
    x = 3,028.54

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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.