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Finding the Fourth Proportional to 4,348.92, 6,000.84 and 2,857.44

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Solution

The fourth proportional to 4,348.92, 6,000.84 and 2,857.44 is: 3,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.92 : 6,000.84 = 2,857.44 : x
  2. Step 2: Convert to fraction form
    4,348.92/6,000.84 = 2,857.44/x
  3. Step 3: Cross multiply
    4,348.92x = 6,000.84 × 2,857.44
  4. Step 4: Simplify right side
    4,348.92x = 17,147,040.25
  5. Step 5: Solve for x
    x = 17,147,040.25/4,348.92
  6. Step 6: Final answer
    x = 3,942.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.