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Finding the Fourth Proportional to 5,057.44, 7,575.22 and 3,825.43

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Solution

The fourth proportional to 5,057.44, 7,575.22 and 3,825.43 is: 5,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.44 : 7,575.22 = 3,825.43 : x
  2. Step 2: Convert to fraction form
    5,057.44/7,575.22 = 3,825.43/x
  3. Step 3: Cross multiply
    5,057.44x = 7,575.22 × 3,825.43
  4. Step 4: Simplify right side
    5,057.44x = 28,978,459.69
  5. Step 5: Solve for x
    x = 28,978,459.69/5,057.44
  6. Step 6: Final answer
    x = 5,729.87

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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.