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Finding the Fourth Proportional to 5,092.50, 7,027.92 and 2,997.30

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Solution

The fourth proportional to 5,092.50, 7,027.92 and 2,997.30 is: 4,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.50 : 7,027.92 = 2,997.30 : x
  2. Step 2: Convert to fraction form
    5,092.50/7,027.92 = 2,997.30/x
  3. Step 3: Cross multiply
    5,092.50x = 7,027.92 × 2,997.30
  4. Step 4: Simplify right side
    5,092.50x = 21,064,784.62
  5. Step 5: Solve for x
    x = 21,064,784.62/5,092.50
  6. Step 6: Final answer
    x = 4,136.43

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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.