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Finding the Fourth Proportional to 5,960.56, 8,231.86 and 3,727.66

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Solution

The fourth proportional to 5,960.56, 8,231.86 and 3,727.66 is: 5,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.56 : 8,231.86 = 3,727.66 : x
  2. Step 2: Convert to fraction form
    5,960.56/8,231.86 = 3,727.66/x
  3. Step 3: Cross multiply
    5,960.56x = 8,231.86 × 3,727.66
  4. Step 4: Simplify right side
    5,960.56x = 30,685,575.25
  5. Step 5: Solve for x
    x = 30,685,575.25/5,960.56
  6. Step 6: Final answer
    x = 5,148.10

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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.