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Finding the Fourth Proportional to 3,767.12, 5,198.12 and 2,194

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Solution

The fourth proportional to 3,767.12, 5,198.12 and 2,194 is: 3,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.12 : 5,198.12 = 2,194 : x
  2. Step 2: Convert to fraction form
    3,767.12/5,198.12 = 2,194/x
  3. Step 3: Cross multiply
    3,767.12x = 5,198.12 × 2,194
  4. Step 4: Simplify right side
    3,767.12x = 11,404,675.28
  5. Step 5: Solve for x
    x = 11,404,675.28/3,767.12
  6. Step 6: Final answer
    x = 3,027.43

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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.