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Finding the Fourth Proportional to 4,046.64, 6,067.12 and 2,067.40

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Solution

The fourth proportional to 4,046.64, 6,067.12 and 2,067.40 is: 3,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.64 : 6,067.12 = 2,067.40 : x
  2. Step 2: Convert to fraction form
    4,046.64/6,067.12 = 2,067.40/x
  3. Step 3: Cross multiply
    4,046.64x = 6,067.12 × 2,067.40
  4. Step 4: Simplify right side
    4,046.64x = 12,543,163.89
  5. Step 5: Solve for x
    x = 12,543,163.89/4,046.64
  6. Step 6: Final answer
    x = 3,099.65

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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.