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Finding the Fourth Proportional to 4,097.97, 6,147.14 and 1,324.71

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Solution

The fourth proportional to 4,097.97, 6,147.14 and 1,324.71 is: 1,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.97 : 6,147.14 = 1,324.71 : x
  2. Step 2: Convert to fraction form
    4,097.97/6,147.14 = 1,324.71/x
  3. Step 3: Cross multiply
    4,097.97x = 6,147.14 × 1,324.71
  4. Step 4: Simplify right side
    4,097.97x = 8,143,171.21
  5. Step 5: Solve for x
    x = 8,143,171.21/4,097.97
  6. Step 6: Final answer
    x = 1,987.12

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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.