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Finding the Fourth Proportional to 5,198.73, 7,797.96 and 1,910.40

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Solution

The fourth proportional to 5,198.73, 7,797.96 and 1,910.40 is: 2,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.73 : 7,797.96 = 1,910.40 : x
  2. Step 2: Convert to fraction form
    5,198.73/7,797.96 = 1,910.40/x
  3. Step 3: Cross multiply
    5,198.73x = 7,797.96 × 1,910.40
  4. Step 4: Simplify right side
    5,198.73x = 14,897,222.78
  5. Step 5: Solve for x
    x = 14,897,222.78/5,198.73
  6. Step 6: Final answer
    x = 2,865.55

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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.