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Finding the Fourth Proportional to 3,794.42, 5,236.25 and 2,115.83

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Solution

The fourth proportional to 3,794.42, 5,236.25 and 2,115.83 is: 2,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.42 : 5,236.25 = 2,115.83 : x
  2. Step 2: Convert to fraction form
    3,794.42/5,236.25 = 2,115.83/x
  3. Step 3: Cross multiply
    3,794.42x = 5,236.25 × 2,115.83
  4. Step 4: Simplify right side
    3,794.42x = 11,078,978.08
  5. Step 5: Solve for x
    x = 11,078,978.08/3,794.42
  6. Step 6: Final answer
    x = 2,919.81

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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.