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Finding the Fourth Proportional to 3,422.75, 5,134.12 and 825.69

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Solution

The fourth proportional to 3,422.75, 5,134.12 and 825.69 is: 1,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.75 : 5,134.12 = 825.69 : x
  2. Step 2: Convert to fraction form
    3,422.75/5,134.12 = 825.69/x
  3. Step 3: Cross multiply
    3,422.75x = 5,134.12 × 825.69
  4. Step 4: Simplify right side
    3,422.75x = 4,239,189.48
  5. Step 5: Solve for x
    x = 4,239,189.48/3,422.75
  6. Step 6: Final answer
    x = 1,238.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.