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Finding the Fourth Proportional to 3,873, 5,344.68 and 2,194.37

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Solution

The fourth proportional to 3,873, 5,344.68 and 2,194.37 is: 3,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,344.68 = 2,194.37 : x
  2. Step 2: Convert to fraction form
    3,873/5,344.68 = 2,194.37/x
  3. Step 3: Cross multiply
    3,873x = 5,344.68 × 2,194.37
  4. Step 4: Simplify right side
    3,873x = 11,728,205.45
  5. Step 5: Solve for x
    x = 11,728,205.45/3,873
  6. Step 6: Final answer
    x = 3,028.20

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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.