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Finding the Fourth Proportional to 3,796.48, 5,236.80 and 2,224

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Solution

The fourth proportional to 3,796.48, 5,236.80 and 2,224 is: 3,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.48 : 5,236.80 = 2,224 : x
  2. Step 2: Convert to fraction form
    3,796.48/5,236.80 = 2,224/x
  3. Step 3: Cross multiply
    3,796.48x = 5,236.80 × 2,224
  4. Step 4: Simplify right side
    3,796.48x = 11,646,643.20
  5. Step 5: Solve for x
    x = 11,646,643.20/3,796.48
  6. Step 6: Final answer
    x = 3,067.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.