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Finding the Fourth Proportional to 3,196.98, 4,803.57 and 3,067.38

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Solution

The fourth proportional to 3,196.98, 4,803.57 and 3,067.38 is: 4,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.98 : 4,803.57 = 3,067.38 : x
  2. Step 2: Convert to fraction form
    3,196.98/4,803.57 = 3,067.38/x
  3. Step 3: Cross multiply
    3,196.98x = 4,803.57 × 3,067.38
  4. Step 4: Simplify right side
    3,196.98x = 14,734,374.55
  5. Step 5: Solve for x
    x = 14,734,374.55/3,196.98
  6. Step 6: Final answer
    x = 4,608.84

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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.