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Finding the Fourth Proportional to 5,577.92, 8,369.44 and 2,843.84

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Solution

The fourth proportional to 5,577.92, 8,369.44 and 2,843.84 is: 4,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.92 : 8,369.44 = 2,843.84 : x
  2. Step 2: Convert to fraction form
    5,577.92/8,369.44 = 2,843.84/x
  3. Step 3: Cross multiply
    5,577.92x = 8,369.44 × 2,843.84
  4. Step 4: Simplify right side
    5,577.92x = 23,801,348.25
  5. Step 5: Solve for x
    x = 23,801,348.25/5,577.92
  6. Step 6: Final answer
    x = 4,267.07

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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.