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Finding the Fourth Proportional to 3,422.81, 5,134.23 and 825.75

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Solution

The fourth proportional to 3,422.81, 5,134.23 and 825.75 is: 1,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.81 : 5,134.23 = 825.75 : x
  2. Step 2: Convert to fraction form
    3,422.81/5,134.23 = 825.75/x
  3. Step 3: Cross multiply
    3,422.81x = 5,134.23 × 825.75
  4. Step 4: Simplify right side
    3,422.81x = 4,239,590.42
  5. Step 5: Solve for x
    x = 4,239,590.42/3,422.81
  6. Step 6: Final answer
    x = 1,238.63

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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.