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Finding the Fourth Proportional to 5,794.91, 8,692.35 and 2,096.28

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Solution

The fourth proportional to 5,794.91, 8,692.35 and 2,096.28 is: 3,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.91 : 8,692.35 = 2,096.28 : x
  2. Step 2: Convert to fraction form
    5,794.91/8,692.35 = 2,096.28/x
  3. Step 3: Cross multiply
    5,794.91x = 8,692.35 × 2,096.28
  4. Step 4: Simplify right side
    5,794.91x = 18,221,609.28
  5. Step 5: Solve for x
    x = 18,221,609.28/5,794.91
  6. Step 6: Final answer
    x = 3,144.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.