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Finding the Fourth Proportional to 4,696.74, 6,481.38 and 2,680.16

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Solution

The fourth proportional to 4,696.74, 6,481.38 and 2,680.16 is: 3,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.74 : 6,481.38 = 2,680.16 : x
  2. Step 2: Convert to fraction form
    4,696.74/6,481.38 = 2,680.16/x
  3. Step 3: Cross multiply
    4,696.74x = 6,481.38 × 2,680.16
  4. Step 4: Simplify right side
    4,696.74x = 17,371,135.42
  5. Step 5: Solve for x
    x = 17,371,135.42/4,696.74
  6. Step 6: Final answer
    x = 3,698.55

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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.