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Finding the Fourth Proportional to 5,704.28, 8,541.84 and 4,144.28

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Solution

The fourth proportional to 5,704.28, 8,541.84 and 4,144.28 is: 6,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.28 : 8,541.84 = 4,144.28 : x
  2. Step 2: Convert to fraction form
    5,704.28/8,541.84 = 4,144.28/x
  3. Step 3: Cross multiply
    5,704.28x = 8,541.84 × 4,144.28
  4. Step 4: Simplify right side
    5,704.28x = 35,399,776.68
  5. Step 5: Solve for x
    x = 35,399,776.68/5,704.28
  6. Step 6: Final answer
    x = 6,205.83

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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.