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Finding the Fourth Proportional to 5,198.25, 7,173.59 and 2,840.39

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Solution

The fourth proportional to 5,198.25, 7,173.59 and 2,840.39 is: 3,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.25 : 7,173.59 = 2,840.39 : x
  2. Step 2: Convert to fraction form
    5,198.25/7,173.59 = 2,840.39/x
  3. Step 3: Cross multiply
    5,198.25x = 7,173.59 × 2,840.39
  4. Step 4: Simplify right side
    5,198.25x = 20,375,797.03
  5. Step 5: Solve for x
    x = 20,375,797.03/5,198.25
  6. Step 6: Final answer
    x = 3,919.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.