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Finding the Fourth Proportional to 3,672.16, 5,067.28 and 2,016.16

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Solution

The fourth proportional to 3,672.16, 5,067.28 and 2,016.16 is: 2,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.16 : 5,067.28 = 2,016.16 : x
  2. Step 2: Convert to fraction form
    3,672.16/5,067.28 = 2,016.16/x
  3. Step 3: Cross multiply
    3,672.16x = 5,067.28 × 2,016.16
  4. Step 4: Simplify right side
    3,672.16x = 10,216,447.24
  5. Step 5: Solve for x
    x = 10,216,447.24/3,672.16
  6. Step 6: Final answer
    x = 2,782.14

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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.