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Finding the Fourth Proportional to 5,092.05, 7,027.12 and 2,854.43

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Solution

The fourth proportional to 5,092.05, 7,027.12 and 2,854.43 is: 3,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.05 : 7,027.12 = 2,854.43 : x
  2. Step 2: Convert to fraction form
    5,092.05/7,027.12 = 2,854.43/x
  3. Step 3: Cross multiply
    5,092.05x = 7,027.12 × 2,854.43
  4. Step 4: Simplify right side
    5,092.05x = 20,058,397.44
  5. Step 5: Solve for x
    x = 20,058,397.44/5,092.05
  6. Step 6: Final answer
    x = 3,939.16

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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.