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Finding the Fourth Proportional to 4,847.46, 7,270.17 and 2,214.22

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Solution

The fourth proportional to 4,847.46, 7,270.17 and 2,214.22 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.46 : 7,270.17 = 2,214.22 : x
  2. Step 2: Convert to fraction form
    4,847.46/7,270.17 = 2,214.22/x
  3. Step 3: Cross multiply
    4,847.46x = 7,270.17 × 2,214.22
  4. Step 4: Simplify right side
    4,847.46x = 16,097,744.75
  5. Step 5: Solve for x
    x = 16,097,744.75/4,847.46
  6. Step 6: Final answer
    x = 3,320.86

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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.