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Finding the Fourth Proportional to 3,766.29, 5,649.39 and 1,817.12

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Solution

The fourth proportional to 3,766.29, 5,649.39 and 1,817.12 is: 2,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.29 : 5,649.39 = 1,817.12 : x
  2. Step 2: Convert to fraction form
    3,766.29/5,649.39 = 1,817.12/x
  3. Step 3: Cross multiply
    3,766.29x = 5,649.39 × 1,817.12
  4. Step 4: Simplify right side
    3,766.29x = 10,265,591.31
  5. Step 5: Solve for x
    x = 10,265,591.31/3,766.29
  6. Step 6: Final answer
    x = 2,725.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.