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Finding the Fourth Proportional to 4,616.33, 6,927.26 and 1,696.68

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Solution

The fourth proportional to 4,616.33, 6,927.26 and 1,696.68 is: 2,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.33 : 6,927.26 = 1,696.68 : x
  2. Step 2: Convert to fraction form
    4,616.33/6,927.26 = 1,696.68/x
  3. Step 3: Cross multiply
    4,616.33x = 6,927.26 × 1,696.68
  4. Step 4: Simplify right side
    4,616.33x = 11,753,335.01
  5. Step 5: Solve for x
    x = 11,753,335.01/4,616.33
  6. Step 6: Final answer
    x = 2,546.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.