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Finding the Fourth Proportional to 4,224.14, 6,336.20 and 1,627.14

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Solution

The fourth proportional to 4,224.14, 6,336.20 and 1,627.14 is: 2,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.14 : 6,336.20 = 1,627.14 : x
  2. Step 2: Convert to fraction form
    4,224.14/6,336.20 = 1,627.14/x
  3. Step 3: Cross multiply
    4,224.14x = 6,336.20 × 1,627.14
  4. Step 4: Simplify right side
    4,224.14x = 10,309,884.47
  5. Step 5: Solve for x
    x = 10,309,884.47/4,224.14
  6. Step 6: Final answer
    x = 2,440.71

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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.