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Finding the Fourth Proportional to 5,704.48, 7,867.92 and 3,841.12

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Solution

The fourth proportional to 5,704.48, 7,867.92 and 3,841.12 is: 5,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.48 : 7,867.92 = 3,841.12 : x
  2. Step 2: Convert to fraction form
    5,704.48/7,867.92 = 3,841.12/x
  3. Step 3: Cross multiply
    5,704.48x = 7,867.92 × 3,841.12
  4. Step 4: Simplify right side
    5,704.48x = 30,221,624.87
  5. Step 5: Solve for x
    x = 30,221,624.87/5,704.48
  6. Step 6: Final answer
    x = 5,297.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.