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Finding the Fourth Proportional to 5,212.82, 7,200.60 and 3,884.22

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Solution

The fourth proportional to 5,212.82, 7,200.60 and 3,884.22 is: 5,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.82 : 7,200.60 = 3,884.22 : x
  2. Step 2: Convert to fraction form
    5,212.82/7,200.60 = 3,884.22/x
  3. Step 3: Cross multiply
    5,212.82x = 7,200.60 × 3,884.22
  4. Step 4: Simplify right side
    5,212.82x = 27,968,699.97
  5. Step 5: Solve for x
    x = 27,968,699.97/5,212.82
  6. Step 6: Final answer
    x = 5,365.37

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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.