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Finding the Fourth Proportional to 3,766.88, 5,197.92 and 2,194.72

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Solution

The fourth proportional to 3,766.88, 5,197.92 and 2,194.72 is: 3,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.88 : 5,197.92 = 2,194.72 : x
  2. Step 2: Convert to fraction form
    3,766.88/5,197.92 = 2,194.72/x
  3. Step 3: Cross multiply
    3,766.88x = 5,197.92 × 2,194.72
  4. Step 4: Simplify right side
    3,766.88x = 11,407,978.98
  5. Step 5: Solve for x
    x = 11,407,978.98/3,766.88
  6. Step 6: Final answer
    x = 3,028.50

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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.