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Finding the Fourth Proportional to 2,899.28, 3,982.30 and 2,843.96

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Solution

The fourth proportional to 2,899.28, 3,982.30 and 2,843.96 is: 3,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.28 : 3,982.30 = 2,843.96 : x
  2. Step 2: Convert to fraction form
    2,899.28/3,982.30 = 2,843.96/x
  3. Step 3: Cross multiply
    2,899.28x = 3,982.30 × 2,843.96
  4. Step 4: Simplify right side
    2,899.28x = 11,325,501.91
  5. Step 5: Solve for x
    x = 11,325,501.91/2,899.28
  6. Step 6: Final answer
    x = 3,906.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.