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Finding the Fourth Proportional to 4,847.47, 7,270.16 and 2,214.23

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Solution

The fourth proportional to 4,847.47, 7,270.16 and 2,214.23 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.47 : 7,270.16 = 2,214.23 : x
  2. Step 2: Convert to fraction form
    4,847.47/7,270.16 = 2,214.23/x
  3. Step 3: Cross multiply
    4,847.47x = 7,270.16 × 2,214.23
  4. Step 4: Simplify right side
    4,847.47x = 16,097,770.03
  5. Step 5: Solve for x
    x = 16,097,770.03/4,847.47
  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.