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Finding the Fourth Proportional to 3,796.27, 5,239.46 and 3,165.68

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Solution

The fourth proportional to 3,796.27, 5,239.46 and 3,165.68 is: 4,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.27 : 5,239.46 = 3,165.68 : x
  2. Step 2: Convert to fraction form
    3,796.27/5,239.46 = 3,165.68/x
  3. Step 3: Cross multiply
    3,796.27x = 5,239.46 × 3,165.68
  4. Step 4: Simplify right side
    3,796.27x = 16,586,465.84
  5. Step 5: Solve for x
    x = 16,586,465.84/3,796.27
  6. Step 6: Final answer
    x = 4,369.15

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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.