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Finding the Fourth Proportional to 5,786.81, 8,680.62 and 2,864.33

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Solution

The fourth proportional to 5,786.81, 8,680.62 and 2,864.33 is: 4,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.81 : 8,680.62 = 2,864.33 : x
  2. Step 2: Convert to fraction form
    5,786.81/8,680.62 = 2,864.33/x
  3. Step 3: Cross multiply
    5,786.81x = 8,680.62 × 2,864.33
  4. Step 4: Simplify right side
    5,786.81x = 24,864,160.28
  5. Step 5: Solve for x
    x = 24,864,160.28/5,786.81
  6. Step 6: Final answer
    x = 4,296.70

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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.