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Finding the Fourth Proportional to 5,072.92, 7,001.24 and 2,977

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Solution

The fourth proportional to 5,072.92, 7,001.24 and 2,977 is: 4,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.92 : 7,001.24 = 2,977 : x
  2. Step 2: Convert to fraction form
    5,072.92/7,001.24 = 2,977/x
  3. Step 3: Cross multiply
    5,072.92x = 7,001.24 × 2,977
  4. Step 4: Simplify right side
    5,072.92x = 20,842,691.48
  5. Step 5: Solve for x
    x = 20,842,691.48/5,072.92
  6. Step 6: Final answer
    x = 4,108.62

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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.