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Finding the Fourth Proportional to 5,197.57, 7,799.52 and 2,734.15

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Solution

The fourth proportional to 5,197.57, 7,799.52 and 2,734.15 is: 4,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.57 : 7,799.52 = 2,734.15 : x
  2. Step 2: Convert to fraction form
    5,197.57/7,799.52 = 2,734.15/x
  3. Step 3: Cross multiply
    5,197.57x = 7,799.52 × 2,734.15
  4. Step 4: Simplify right side
    5,197.57x = 21,325,057.61
  5. Step 5: Solve for x
    x = 21,325,057.61/5,197.57
  6. Step 6: Final answer
    x = 4,102.89

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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.