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Finding the Fourth Proportional to 5,092.10, 7,027.04 and 2,853.99

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Solution

The fourth proportional to 5,092.10, 7,027.04 and 2,853.99 is: 3,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.10 : 7,027.04 = 2,853.99 : x
  2. Step 2: Convert to fraction form
    5,092.10/7,027.04 = 2,853.99/x
  3. Step 3: Cross multiply
    5,092.10x = 7,027.04 × 2,853.99
  4. Step 4: Simplify right side
    5,092.10x = 20,055,087.62
  5. Step 5: Solve for x
    x = 20,055,087.62/5,092.10
  6. Step 6: Final answer
    x = 3,938.47

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Why These Related Problems?

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