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Finding the Fourth Proportional to 5,958.93, 8,194.16 and 5,171.61

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Solution

The fourth proportional to 5,958.93, 8,194.16 and 5,171.61 is: 7,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.93 : 8,194.16 = 5,171.61 : x
  2. Step 2: Convert to fraction form
    5,958.93/8,194.16 = 5,171.61/x
  3. Step 3: Cross multiply
    5,958.93x = 8,194.16 × 5,171.61
  4. Step 4: Simplify right side
    5,958.93x = 42,377,012.73
  5. Step 5: Solve for x
    x = 42,377,012.73/5,958.93
  6. Step 6: Final answer
    x = 7,111.51

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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.