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Finding the Fourth Proportional to 5,906.62, 8,859.72 and 2,785.49

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Solution

The fourth proportional to 5,906.62, 8,859.72 and 2,785.49 is: 4,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.62 : 8,859.72 = 2,785.49 : x
  2. Step 2: Convert to fraction form
    5,906.62/8,859.72 = 2,785.49/x
  3. Step 3: Cross multiply
    5,906.62x = 8,859.72 × 2,785.49
  4. Step 4: Simplify right side
    5,906.62x = 24,678,617.16
  5. Step 5: Solve for x
    x = 24,678,617.16/5,906.62
  6. Step 6: Final answer
    x = 4,178.13

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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.