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Finding the Fourth Proportional to 5,795.85, 8,694.45 and 2,099.82

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Solution

The fourth proportional to 5,795.85, 8,694.45 and 2,099.82 is: 3,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.85 : 8,694.45 = 2,099.82 : x
  2. Step 2: Convert to fraction form
    5,795.85/8,694.45 = 2,099.82/x
  3. Step 3: Cross multiply
    5,795.85x = 8,694.45 × 2,099.82
  4. Step 4: Simplify right side
    5,795.85x = 18,256,780.00
  5. Step 5: Solve for x
    x = 18,256,780.00/5,795.85
  6. Step 6: Final answer
    x = 3,149.97

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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.