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Finding the Fourth Proportional to 5,793.09, 8,692.89 and 2,098.41

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Solution

The fourth proportional to 5,793.09, 8,692.89 and 2,098.41 is: 3,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.09 : 8,692.89 = 2,098.41 : x
  2. Step 2: Convert to fraction form
    5,793.09/8,692.89 = 2,098.41/x
  3. Step 3: Cross multiply
    5,793.09x = 8,692.89 × 2,098.41
  4. Step 4: Simplify right side
    5,793.09x = 18,241,247.30
  5. Step 5: Solve for x
    x = 18,241,247.30/5,793.09
  6. Step 6: Final answer
    x = 3,148.79

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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.