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Finding the Fourth Proportional to 5,936.90, 8,194.77 and 3,697.45

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Solution

The fourth proportional to 5,936.90, 8,194.77 and 3,697.45 is: 5,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.90 : 8,194.77 = 3,697.45 : x
  2. Step 2: Convert to fraction form
    5,936.90/8,194.77 = 3,697.45/x
  3. Step 3: Cross multiply
    5,936.90x = 8,194.77 × 3,697.45
  4. Step 4: Simplify right side
    5,936.90x = 30,299,731.85
  5. Step 5: Solve for x
    x = 30,299,731.85/5,936.90
  6. Step 6: Final answer
    x = 5,103.63

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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.