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Finding the Fourth Proportional to 5,891.74, 8,821.83 and 3,112.66

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Solution

The fourth proportional to 5,891.74, 8,821.83 and 3,112.66 is: 4,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.74 : 8,821.83 = 3,112.66 : x
  2. Step 2: Convert to fraction form
    5,891.74/8,821.83 = 3,112.66/x
  3. Step 3: Cross multiply
    5,891.74x = 8,821.83 × 3,112.66
  4. Step 4: Simplify right side
    5,891.74x = 27,459,357.37
  5. Step 5: Solve for x
    x = 27,459,357.37/5,891.74
  6. Step 6: Final answer
    x = 4,660.65

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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.