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Finding the Fourth Proportional to 5,092.94, 7,027.97 and 2,854.37

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Solution

The fourth proportional to 5,092.94, 7,027.97 and 2,854.37 is: 3,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.94 : 7,027.97 = 2,854.37 : x
  2. Step 2: Convert to fraction form
    5,092.94/7,027.97 = 2,854.37/x
  3. Step 3: Cross multiply
    5,092.94x = 7,027.97 × 2,854.37
  4. Step 4: Simplify right side
    5,092.94x = 20,060,430.03
  5. Step 5: Solve for x
    x = 20,060,430.03/5,092.94
  6. Step 6: Final answer
    x = 3,938.87

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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.