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Finding the Fourth Proportional to 3,797.48, 5,238.82 and 2,224.88

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Solution

The fourth proportional to 3,797.48, 5,238.82 and 2,224.88 is: 3,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.48 : 5,238.82 = 2,224.88 : x
  2. Step 2: Convert to fraction form
    3,797.48/5,238.82 = 2,224.88/x
  3. Step 3: Cross multiply
    3,797.48x = 5,238.82 × 2,224.88
  4. Step 4: Simplify right side
    3,797.48x = 11,655,745.84
  5. Step 5: Solve for x
    x = 11,655,745.84/3,797.48
  6. Step 6: Final answer
    x = 3,069.34

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1.5x scale

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.