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Finding the Fourth Proportional to 4,900, 6,762 and 2,692

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Solution

The fourth proportional to 4,900, 6,762 and 2,692 is: 3,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900 : 6,762 = 2,692 : x
  2. Step 2: Convert to fraction form
    4,900/6,762 = 2,692/x
  3. Step 3: Cross multiply
    4,900x = 6,762 × 2,692
  4. Step 4: Simplify right side
    4,900x = 18,203,304
  5. Step 5: Solve for x
    x = 18,203,304/4,900
  6. Step 6: Final answer
    x = 3,714.96

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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.