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Finding the Fourth Proportional to 5,067.42, 6,992.97 and 2,829.33

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Solution

The fourth proportional to 5,067.42, 6,992.97 and 2,829.33 is: 3,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.42 : 6,992.97 = 2,829.33 : x
  2. Step 2: Convert to fraction form
    5,067.42/6,992.97 = 2,829.33/x
  3. Step 3: Cross multiply
    5,067.42x = 6,992.97 × 2,829.33
  4. Step 4: Simplify right side
    5,067.42x = 19,785,409.20
  5. Step 5: Solve for x
    x = 19,785,409.20/5,067.42
  6. Step 6: Final answer
    x = 3,904.44

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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.