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Finding the Fourth Proportional to 4,067.97, 6,102.09 and 1,146.20

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Solution

The fourth proportional to 4,067.97, 6,102.09 and 1,146.20 is: 1,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.97 : 6,102.09 = 1,146.20 : x
  2. Step 2: Convert to fraction form
    4,067.97/6,102.09 = 1,146.20/x
  3. Step 3: Cross multiply
    4,067.97x = 6,102.09 × 1,146.20
  4. Step 4: Simplify right side
    4,067.97x = 6,994,185.05
  5. Step 5: Solve for x
    x = 6,994,185.05/4,067.97
  6. Step 6: Final answer
    x = 1,719.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.