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Finding the Fourth Proportional to 3,796.22, 5,237.07 and 2,223.65

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Solution

The fourth proportional to 3,796.22, 5,237.07 and 2,223.65 is: 3,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.22 : 5,237.07 = 2,223.65 : x
  2. Step 2: Convert to fraction form
    3,796.22/5,237.07 = 2,223.65/x
  3. Step 3: Cross multiply
    3,796.22x = 5,237.07 × 2,223.65
  4. Step 4: Simplify right side
    3,796.22x = 11,645,410.71
  5. Step 5: Solve for x
    x = 11,645,410.71/3,796.22
  6. Step 6: Final answer
    x = 3,067.63

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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.