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Finding the Fourth Proportional to 4,974.66, 6,865.17 and 2,736.42

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Solution

The fourth proportional to 4,974.66, 6,865.17 and 2,736.42 is: 3,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.66 : 6,865.17 = 2,736.42 : x
  2. Step 2: Convert to fraction form
    4,974.66/6,865.17 = 2,736.42/x
  3. Step 3: Cross multiply
    4,974.66x = 6,865.17 × 2,736.42
  4. Step 4: Simplify right side
    4,974.66x = 18,785,988.49
  5. Step 5: Solve for x
    x = 18,785,988.49/4,974.66
  6. Step 6: Final answer
    x = 3,776.34

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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.