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Finding the Fourth Proportional to 4,147.07, 6,234.27 and 3,842.71

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Solution

The fourth proportional to 4,147.07, 6,234.27 and 3,842.71 is: 5,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.07 : 6,234.27 = 3,842.71 : x
  2. Step 2: Convert to fraction form
    4,147.07/6,234.27 = 3,842.71/x
  3. Step 3: Cross multiply
    4,147.07x = 6,234.27 × 3,842.71
  4. Step 4: Simplify right side
    4,147.07x = 23,956,476.09
  5. Step 5: Solve for x
    x = 23,956,476.09/4,147.07
  6. Step 6: Final answer
    x = 5,776.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.