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Finding the Fourth Proportional to 5,860.74, 8,786.24 and 2,162.28

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Solution

The fourth proportional to 5,860.74, 8,786.24 and 2,162.28 is: 3,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.74 : 8,786.24 = 2,162.28 : x
  2. Step 2: Convert to fraction form
    5,860.74/8,786.24 = 2,162.28/x
  3. Step 3: Cross multiply
    5,860.74x = 8,786.24 × 2,162.28
  4. Step 4: Simplify right side
    5,860.74x = 18,998,311.03
  5. Step 5: Solve for x
    x = 18,998,311.03/5,860.74
  6. Step 6: Final answer
    x = 3,241.62

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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.