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Finding the Fourth Proportional to 3,672.34, 5,067.84 and 2,181

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Solution

The fourth proportional to 3,672.34, 5,067.84 and 2,181 is: 3,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.34 : 5,067.84 = 2,181 : x
  2. Step 2: Convert to fraction form
    3,672.34/5,067.84 = 2,181/x
  3. Step 3: Cross multiply
    3,672.34x = 5,067.84 × 2,181
  4. Step 4: Simplify right side
    3,672.34x = 11,052,959.04
  5. Step 5: Solve for x
    x = 11,052,959.04/3,672.34
  6. Step 6: Final answer
    x = 3,009.79

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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.