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Finding the Fourth Proportional to 4,067.93, 6,102.78 and 1,729.93

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Solution

The fourth proportional to 4,067.93, 6,102.78 and 1,729.93 is: 2,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.93 : 6,102.78 = 1,729.93 : x
  2. Step 2: Convert to fraction form
    4,067.93/6,102.78 = 1,729.93/x
  3. Step 3: Cross multiply
    4,067.93x = 6,102.78 × 1,729.93
  4. Step 4: Simplify right side
    4,067.93x = 10,557,343.04
  5. Step 5: Solve for x
    x = 10,557,343.04/4,067.93
  6. Step 6: Final answer
    x = 2,595.26

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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.