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Finding the Fourth Proportional to 5,099.20, 7,634.20 and 3,138.20

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Solution

The fourth proportional to 5,099.20, 7,634.20 and 3,138.20 is: 4,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.20 : 7,634.20 = 3,138.20 : x
  2. Step 2: Convert to fraction form
    5,099.20/7,634.20 = 3,138.20/x
  3. Step 3: Cross multiply
    5,099.20x = 7,634.20 × 3,138.20
  4. Step 4: Simplify right side
    5,099.20x = 23,957,646.44
  5. Step 5: Solve for x
    x = 23,957,646.44/5,099.20
  6. Step 6: Final answer
    x = 4,698.31

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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.