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Finding the Fourth Proportional to 4,172.92, 6,257.24 and 1,398.60

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Solution

The fourth proportional to 4,172.92, 6,257.24 and 1,398.60 is: 2,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.92 : 6,257.24 = 1,398.60 : x
  2. Step 2: Convert to fraction form
    4,172.92/6,257.24 = 1,398.60/x
  3. Step 3: Cross multiply
    4,172.92x = 6,257.24 × 1,398.60
  4. Step 4: Simplify right side
    4,172.92x = 8,751,375.86
  5. Step 5: Solve for x
    x = 8,751,375.86/4,172.92
  6. Step 6: Final answer
    x = 2,097.18

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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.