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Finding the Fourth Proportional to 3,672.24, 5,067.76 and 2,016.24

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Solution

The fourth proportional to 3,672.24, 5,067.76 and 2,016.24 is: 2,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.24 : 5,067.76 = 2,016.24 : x
  2. Step 2: Convert to fraction form
    3,672.24/5,067.76 = 2,016.24/x
  3. Step 3: Cross multiply
    3,672.24x = 5,067.76 × 2,016.24
  4. Step 4: Simplify right side
    3,672.24x = 10,217,820.42
  5. Step 5: Solve for x
    x = 10,217,820.42/3,672.24
  6. Step 6: Final answer
    x = 2,782.45

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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.