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Finding the Fourth Proportional to 5,171.74, 7,757.64 and 3,524.20

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Solution

The fourth proportional to 5,171.74, 7,757.64 and 3,524.20 is: 5,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.74 : 7,757.64 = 3,524.20 : x
  2. Step 2: Convert to fraction form
    5,171.74/7,757.64 = 3,524.20/x
  3. Step 3: Cross multiply
    5,171.74x = 7,757.64 × 3,524.20
  4. Step 4: Simplify right side
    5,171.74x = 27,339,455.49
  5. Step 5: Solve for x
    x = 27,339,455.49/5,171.74
  6. Step 6: Final answer
    x = 5,286.32

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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.