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Finding the Fourth Proportional to 4,212.84, 5,810.22 and 3,163.08

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Solution

The fourth proportional to 4,212.84, 5,810.22 and 3,163.08 is: 4,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.84 : 5,810.22 = 3,163.08 : x
  2. Step 2: Convert to fraction form
    4,212.84/5,810.22 = 3,163.08/x
  3. Step 3: Cross multiply
    4,212.84x = 5,810.22 × 3,163.08
  4. Step 4: Simplify right side
    4,212.84x = 18,378,190.68
  5. Step 5: Solve for x
    x = 18,378,190.68/4,212.84
  6. Step 6: Final answer
    x = 4,362.42

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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.