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Finding the Fourth Proportional to 6,198.92, 8,551.72 and 3,681.14

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Solution

The fourth proportional to 6,198.92, 8,551.72 and 3,681.14 is: 5,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.92 : 8,551.72 = 3,681.14 : x
  2. Step 2: Convert to fraction form
    6,198.92/8,551.72 = 3,681.14/x
  3. Step 3: Cross multiply
    6,198.92x = 8,551.72 × 3,681.14
  4. Step 4: Simplify right side
    6,198.92x = 31,480,078.56
  5. Step 5: Solve for x
    x = 31,480,078.56/6,198.92
  6. Step 6: Final answer
    x = 5,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.