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Finding the Fourth Proportional to 5,193.75, 7,791.09 and 2,073

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Solution

The fourth proportional to 5,193.75, 7,791.09 and 2,073 is: 3,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.75 : 7,791.09 = 2,073 : x
  2. Step 2: Convert to fraction form
    5,193.75/7,791.09 = 2,073/x
  3. Step 3: Cross multiply
    5,193.75x = 7,791.09 × 2,073
  4. Step 4: Simplify right side
    5,193.75x = 16,150,929.57
  5. Step 5: Solve for x
    x = 16,150,929.57/5,193.75
  6. Step 6: Final answer
    x = 3,109.69

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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.