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Finding the Fourth Proportional to 4,168.94, 5,755.24 and 3,222.59

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Solution

The fourth proportional to 4,168.94, 5,755.24 and 3,222.59 is: 4,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.94 : 5,755.24 = 3,222.59 : x
  2. Step 2: Convert to fraction form
    4,168.94/5,755.24 = 3,222.59/x
  3. Step 3: Cross multiply
    4,168.94x = 5,755.24 × 3,222.59
  4. Step 4: Simplify right side
    4,168.94x = 18,546,784.56
  5. Step 5: Solve for x
    x = 18,546,784.56/4,168.94
  6. Step 6: Final answer
    x = 4,448.80

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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.