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Finding the Fourth Proportional to 5,193.69, 7,791.56 and 1,906.80

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Solution

The fourth proportional to 5,193.69, 7,791.56 and 1,906.80 is: 2,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.69 : 7,791.56 = 1,906.80 : x
  2. Step 2: Convert to fraction form
    5,193.69/7,791.56 = 1,906.80/x
  3. Step 3: Cross multiply
    5,193.69x = 7,791.56 × 1,906.80
  4. Step 4: Simplify right side
    5,193.69x = 14,856,937.07
  5. Step 5: Solve for x
    x = 14,856,937.07/5,193.69
  6. Step 6: Final answer
    x = 2,860.57

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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.