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Finding the Fourth Proportional to 3,766.26, 5,194.18 and 2,824.18

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Solution

The fourth proportional to 3,766.26, 5,194.18 and 2,824.18 is: 3,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.26 : 5,194.18 = 2,824.18 : x
  2. Step 2: Convert to fraction form
    3,766.26/5,194.18 = 2,824.18/x
  3. Step 3: Cross multiply
    3,766.26x = 5,194.18 × 2,824.18
  4. Step 4: Simplify right side
    3,766.26x = 14,669,299.27
  5. Step 5: Solve for x
    x = 14,669,299.27/3,766.26
  6. Step 6: Final answer
    x = 3,894.92

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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.