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Finding the Fourth Proportional to 3,183.71, 4,379.54 and 3,002.27

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Solution

The fourth proportional to 3,183.71, 4,379.54 and 3,002.27 is: 4,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.71 : 4,379.54 = 3,002.27 : x
  2. Step 2: Convert to fraction form
    3,183.71/4,379.54 = 3,002.27/x
  3. Step 3: Cross multiply
    3,183.71x = 4,379.54 × 3,002.27
  4. Step 4: Simplify right side
    3,183.71x = 13,148,524.65
  5. Step 5: Solve for x
    x = 13,148,524.65/3,183.71
  6. Step 6: Final answer
    x = 4,129.94

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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.