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Finding the Fourth Proportional to 4,904, 6,767.68 and 2,696

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Solution

The fourth proportional to 4,904, 6,767.68 and 2,696 is: 3,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904 : 6,767.68 = 2,696 : x
  2. Step 2: Convert to fraction form
    4,904/6,767.68 = 2,696/x
  3. Step 3: Cross multiply
    4,904x = 6,767.68 × 2,696
  4. Step 4: Simplify right side
    4,904x = 18,245,665.28
  5. Step 5: Solve for x
    x = 18,245,665.28/4,904
  6. Step 6: Final answer
    x = 3,720.57

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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.