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Finding the Fourth Proportional to 5,786.68, 8,680.43 and 2,864.20

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Solution

The fourth proportional to 5,786.68, 8,680.43 and 2,864.20 is: 4,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.68 : 8,680.43 = 2,864.20 : x
  2. Step 2: Convert to fraction form
    5,786.68/8,680.43 = 2,864.20/x
  3. Step 3: Cross multiply
    5,786.68x = 8,680.43 × 2,864.20
  4. Step 4: Simplify right side
    5,786.68x = 24,862,516.47
  5. Step 5: Solve for x
    x = 24,862,516.47/5,786.68
  6. Step 6: Final answer
    x = 4,296.51

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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.