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Finding the Fourth Proportional to 5,067.26, 6,992.76 and 2,829

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Solution

The fourth proportional to 5,067.26, 6,992.76 and 2,829 is: 3,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.26 : 6,992.76 = 2,829 : x
  2. Step 2: Convert to fraction form
    5,067.26/6,992.76 = 2,829/x
  3. Step 3: Cross multiply
    5,067.26x = 6,992.76 × 2,829
  4. Step 4: Simplify right side
    5,067.26x = 19,782,518.04
  5. Step 5: Solve for x
    x = 19,782,518.04/5,067.26
  6. Step 6: Final answer
    x = 3,903.99

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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.