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Finding the Fourth Proportional to 3,766.44, 5,196.48 and 2,274.80

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Solution

The fourth proportional to 3,766.44, 5,196.48 and 2,274.80 is: 3,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.44 : 5,196.48 = 2,274.80 : x
  2. Step 2: Convert to fraction form
    3,766.44/5,196.48 = 2,274.80/x
  3. Step 3: Cross multiply
    3,766.44x = 5,196.48 × 2,274.80
  4. Step 4: Simplify right side
    3,766.44x = 11,820,952.70
  5. Step 5: Solve for x
    x = 11,820,952.70/3,766.44
  6. Step 6: Final answer
    x = 3,138.49

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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.