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Finding the Fourth Proportional to 2,996.29, 4,487.46 and 2,892.47

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Solution

The fourth proportional to 2,996.29, 4,487.46 and 2,892.47 is: 4,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.29 : 4,487.46 = 2,892.47 : x
  2. Step 2: Convert to fraction form
    2,996.29/4,487.46 = 2,892.47/x
  3. Step 3: Cross multiply
    2,996.29x = 4,487.46 × 2,892.47
  4. Step 4: Simplify right side
    2,996.29x = 12,979,843.43
  5. Step 5: Solve for x
    x = 12,979,843.43/2,996.29
  6. Step 6: Final answer
    x = 4,331.97

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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.