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Finding the Fourth Proportional to 5,942.57, 8,194.57 and 4,151.66

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Solution

The fourth proportional to 5,942.57, 8,194.57 and 4,151.66 is: 5,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.57 : 8,194.57 = 4,151.66 : x
  2. Step 2: Convert to fraction form
    5,942.57/8,194.57 = 4,151.66/x
  3. Step 3: Cross multiply
    5,942.57x = 8,194.57 × 4,151.66
  4. Step 4: Simplify right side
    5,942.57x = 34,021,017.13
  5. Step 5: Solve for x
    x = 34,021,017.13/5,942.57
  6. Step 6: Final answer
    x = 5,724.97

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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.