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Finding the Fourth Proportional to 4,236.21, 5,847.98 and 2,822.22

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Solution

The fourth proportional to 4,236.21, 5,847.98 and 2,822.22 is: 3,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.21 : 5,847.98 = 2,822.22 : x
  2. Step 2: Convert to fraction form
    4,236.21/5,847.98 = 2,822.22/x
  3. Step 3: Cross multiply
    4,236.21x = 5,847.98 × 2,822.22
  4. Step 4: Simplify right side
    4,236.21x = 16,504,272.00
  5. Step 5: Solve for x
    x = 16,504,272.00/4,236.21
  6. Step 6: Final answer
    x = 3,896.00

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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.