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Finding the Fourth Proportional to 3,797.91, 5,238.86 and 2,805.75

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Solution

The fourth proportional to 3,797.91, 5,238.86 and 2,805.75 is: 3,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.91 : 5,238.86 = 2,805.75 : x
  2. Step 2: Convert to fraction form
    3,797.91/5,238.86 = 2,805.75/x
  3. Step 3: Cross multiply
    3,797.91x = 5,238.86 × 2,805.75
  4. Step 4: Simplify right side
    3,797.91x = 14,698,917.42
  5. Step 5: Solve for x
    x = 14,698,917.42/3,797.91
  6. Step 6: Final answer
    x = 3,870.26

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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.