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Finding the Fourth Proportional to 5,092.05, 7,027.31 and 2,854.64

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Solution

The fourth proportional to 5,092.05, 7,027.31 and 2,854.64 is: 3,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.05 : 7,027.31 = 2,854.64 : x
  2. Step 2: Convert to fraction form
    5,092.05/7,027.31 = 2,854.64/x
  3. Step 3: Cross multiply
    5,092.05x = 7,027.31 × 2,854.64
  4. Step 4: Simplify right side
    5,092.05x = 20,060,464.92
  5. Step 5: Solve for x
    x = 20,060,464.92/5,092.05
  6. Step 6: Final answer
    x = 3,939.57

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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.