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Finding the Fourth Proportional to 4,827.62, 7,234.14 and 3,589.22

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Solution

The fourth proportional to 4,827.62, 7,234.14 and 3,589.22 is: 5,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.62 : 7,234.14 = 3,589.22 : x
  2. Step 2: Convert to fraction form
    4,827.62/7,234.14 = 3,589.22/x
  3. Step 3: Cross multiply
    4,827.62x = 7,234.14 × 3,589.22
  4. Step 4: Simplify right side
    4,827.62x = 25,964,919.97
  5. Step 5: Solve for x
    x = 25,964,919.97/4,827.62
  6. Step 6: Final answer
    x = 5,378.41

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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.