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Finding the Fourth Proportional to 6,884.85, 10,331.16 and 3,722.19

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Solution

The fourth proportional to 6,884.85, 10,331.16 and 3,722.19 is: 5,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.85 : 10,331.16 = 3,722.19 : x
  2. Step 2: Convert to fraction form
    6,884.85/10,331.16 = 3,722.19/x
  3. Step 3: Cross multiply
    6,884.85x = 10,331.16 × 3,722.19
  4. Step 4: Simplify right side
    6,884.85x = 38,454,540.44
  5. Step 5: Solve for x
    x = 38,454,540.44/6,884.85
  6. Step 6: Final answer
    x = 5,585.39

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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.