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Finding the Fourth Proportional to 3,796.17, 5,238.36 and 2,224.23

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Solution

The fourth proportional to 3,796.17, 5,238.36 and 2,224.23 is: 3,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.17 : 5,238.36 = 2,224.23 : x
  2. Step 2: Convert to fraction form
    3,796.17/5,238.36 = 2,224.23/x
  3. Step 3: Cross multiply
    3,796.17x = 5,238.36 × 2,224.23
  4. Step 4: Simplify right side
    3,796.17x = 11,651,317.46
  5. Step 5: Solve for x
    x = 11,651,317.46/3,796.17
  6. Step 6: Final answer
    x = 3,069.23

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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.