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Finding the Fourth Proportional to 3,796.04, 5,238.99 and 2,224.13

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Solution

The fourth proportional to 3,796.04, 5,238.99 and 2,224.13 is: 3,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.04 : 5,238.99 = 2,224.13 : x
  2. Step 2: Convert to fraction form
    3,796.04/5,238.99 = 2,224.13/x
  3. Step 3: Cross multiply
    3,796.04x = 5,238.99 × 2,224.13
  4. Step 4: Simplify right side
    3,796.04x = 11,652,168.63
  5. Step 5: Solve for x
    x = 11,652,168.63/3,796.04
  6. Step 6: Final answer
    x = 3,069.56

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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.