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Finding the Fourth Proportional to 5,936.44, 8,194.02 and 3,419.80

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Solution

The fourth proportional to 5,936.44, 8,194.02 and 3,419.80 is: 4,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.44 : 8,194.02 = 3,419.80 : x
  2. Step 2: Convert to fraction form
    5,936.44/8,194.02 = 3,419.80/x
  3. Step 3: Cross multiply
    5,936.44x = 8,194.02 × 3,419.80
  4. Step 4: Simplify right side
    5,936.44x = 28,021,909.60
  5. Step 5: Solve for x
    x = 28,021,909.60/5,936.44
  6. Step 6: Final answer
    x = 4,720.32

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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.