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Finding the Fourth Proportional to 5,212.87, 7,822.12 and 3,788.27

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Solution

The fourth proportional to 5,212.87, 7,822.12 and 3,788.27 is: 5,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.87 : 7,822.12 = 3,788.27 : x
  2. Step 2: Convert to fraction form
    5,212.87/7,822.12 = 3,788.27/x
  3. Step 3: Cross multiply
    5,212.87x = 7,822.12 × 3,788.27
  4. Step 4: Simplify right side
    5,212.87x = 29,632,290.39
  5. Step 5: Solve for x
    x = 29,632,290.39/5,212.87
  6. Step 6: Final answer
    x = 5,684.44

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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.