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Finding the Fourth Proportional to 5,197.56, 7,791.92 and 2,273.68

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Solution

The fourth proportional to 5,197.56, 7,791.92 and 2,273.68 is: 3,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.56 : 7,791.92 = 2,273.68 : x
  2. Step 2: Convert to fraction form
    5,197.56/7,791.92 = 2,273.68/x
  3. Step 3: Cross multiply
    5,197.56x = 7,791.92 × 2,273.68
  4. Step 4: Simplify right side
    5,197.56x = 17,716,332.67
  5. Step 5: Solve for x
    x = 17,716,332.67/5,197.56
  6. Step 6: Final answer
    x = 3,408.59

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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.