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Finding the Fourth Proportional to 3,768.19, 5,649.22 and 3,254.29

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Solution

The fourth proportional to 3,768.19, 5,649.22 and 3,254.29 is: 4,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.19 : 5,649.22 = 3,254.29 : x
  2. Step 2: Convert to fraction form
    3,768.19/5,649.22 = 3,254.29/x
  3. Step 3: Cross multiply
    3,768.19x = 5,649.22 × 3,254.29
  4. Step 4: Simplify right side
    3,768.19x = 18,384,200.15
  5. Step 5: Solve for x
    x = 18,384,200.15/3,768.19
  6. Step 6: Final answer
    x = 4,878.79

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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.