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Finding the Fourth Proportional to 4,902, 6,764.76 and 2,694

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Solution

The fourth proportional to 4,902, 6,764.76 and 2,694 is: 3,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 6,764.76 = 2,694 : x
  2. Step 2: Convert to fraction form
    4,902/6,764.76 = 2,694/x
  3. Step 3: Cross multiply
    4,902x = 6,764.76 × 2,694
  4. Step 4: Simplify right side
    4,902x = 18,224,263.44
  5. Step 5: Solve for x
    x = 18,224,263.44/4,902
  6. Step 6: Final answer
    x = 3,717.72

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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.