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Finding the Fourth Proportional to 3,796.47, 5,237.42 and 2,223.90

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Solution

The fourth proportional to 3,796.47, 5,237.42 and 2,223.90 is: 3,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.47 : 5,237.42 = 2,223.90 : x
  2. Step 2: Convert to fraction form
    3,796.47/5,237.42 = 2,223.90/x
  3. Step 3: Cross multiply
    3,796.47x = 5,237.42 × 2,223.90
  4. Step 4: Simplify right side
    3,796.47x = 11,647,487.22
  5. Step 5: Solve for x
    x = 11,647,487.22/3,796.47
  6. Step 6: Final answer
    x = 3,067.98

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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.