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Finding the Fourth Proportional to 5,198.25, 7,173.68 and 2,840.34

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Solution

The fourth proportional to 5,198.25, 7,173.68 and 2,840.34 is: 3,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.25 : 7,173.68 = 2,840.34 : x
  2. Step 2: Convert to fraction form
    5,198.25/7,173.68 = 2,840.34/x
  3. Step 3: Cross multiply
    5,198.25x = 7,173.68 × 2,840.34
  4. Step 4: Simplify right side
    5,198.25x = 20,375,690.25
  5. Step 5: Solve for x
    x = 20,375,690.25/5,198.25
  6. Step 6: Final answer
    x = 3,919.72

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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.