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Finding the Fourth Proportional to 4,067.32, 6,098.22 and 1,293.16

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Solution

The fourth proportional to 4,067.32, 6,098.22 and 1,293.16 is: 1,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.32 : 6,098.22 = 1,293.16 : x
  2. Step 2: Convert to fraction form
    4,067.32/6,098.22 = 1,293.16/x
  3. Step 3: Cross multiply
    4,067.32x = 6,098.22 × 1,293.16
  4. Step 4: Simplify right side
    4,067.32x = 7,885,974.18
  5. Step 5: Solve for x
    x = 7,885,974.18/4,067.32
  6. Step 6: Final answer
    x = 1,938.86

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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.