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Finding the Fourth Proportional to 4,981.16, 6,874 and 2,743.16

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Solution

The fourth proportional to 4,981.16, 6,874 and 2,743.16 is: 3,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.16 : 6,874 = 2,743.16 : x
  2. Step 2: Convert to fraction form
    4,981.16/6,874 = 2,743.16/x
  3. Step 3: Cross multiply
    4,981.16x = 6,874 × 2,743.16
  4. Step 4: Simplify right side
    4,981.16x = 18,856,481.84
  5. Step 5: Solve for x
    x = 18,856,481.84/4,981.16
  6. Step 6: Final answer
    x = 3,785.56

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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.