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Finding the Fourth Proportional to 5,936.12, 8,186.48 and 3,809.20

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Solution

The fourth proportional to 5,936.12, 8,186.48 and 3,809.20 is: 5,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.12 : 8,186.48 = 3,809.20 : x
  2. Step 2: Convert to fraction form
    5,936.12/8,186.48 = 3,809.20/x
  3. Step 3: Cross multiply
    5,936.12x = 8,186.48 × 3,809.20
  4. Step 4: Simplify right side
    5,936.12x = 31,183,939.62
  5. Step 5: Solve for x
    x = 31,183,939.62/5,936.12
  6. Step 6: Final answer
    x = 5,253.25

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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.