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Finding the Fourth Proportional to 5,451.44, 8,170.16 and 3,966.91

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Solution

The fourth proportional to 5,451.44, 8,170.16 and 3,966.91 is: 5,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.44 : 8,170.16 = 3,966.91 : x
  2. Step 2: Convert to fraction form
    5,451.44/8,170.16 = 3,966.91/x
  3. Step 3: Cross multiply
    5,451.44x = 8,170.16 × 3,966.91
  4. Step 4: Simplify right side
    5,451.44x = 32,410,249.15
  5. Step 5: Solve for x
    x = 32,410,249.15/5,451.44
  6. Step 6: Final answer
    x = 5,945.27

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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.