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Finding the Fourth Proportional to 5,212.44, 7,193.17 and 2,822.43

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Solution

The fourth proportional to 5,212.44, 7,193.17 and 2,822.43 is: 3,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.44 : 7,193.17 = 2,822.43 : x
  2. Step 2: Convert to fraction form
    5,212.44/7,193.17 = 2,822.43/x
  3. Step 3: Cross multiply
    5,212.44x = 7,193.17 × 2,822.43
  4. Step 4: Simplify right side
    5,212.44x = 20,302,249.31
  5. Step 5: Solve for x
    x = 20,302,249.31/5,212.44
  6. Step 6: Final answer
    x = 3,894.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.