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Finding the Fourth Proportional to 4,115.56, 6,161.19 and 3,884.71

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Solution

The fourth proportional to 4,115.56, 6,161.19 and 3,884.71 is: 5,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.56 : 6,161.19 = 3,884.71 : x
  2. Step 2: Convert to fraction form
    4,115.56/6,161.19 = 3,884.71/x
  3. Step 3: Cross multiply
    4,115.56x = 6,161.19 × 3,884.71
  4. Step 4: Simplify right side
    4,115.56x = 23,934,436.40
  5. Step 5: Solve for x
    x = 23,934,436.40/4,115.56
  6. Step 6: Final answer
    x = 5,815.60

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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.