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Finding the Fourth Proportional to 4,902.27, 6,764.99 and 2,664.11

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Solution

The fourth proportional to 4,902.27, 6,764.99 and 2,664.11 is: 3,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.27 : 6,764.99 = 2,664.11 : x
  2. Step 2: Convert to fraction form
    4,902.27/6,764.99 = 2,664.11/x
  3. Step 3: Cross multiply
    4,902.27x = 6,764.99 × 2,664.11
  4. Step 4: Simplify right side
    4,902.27x = 18,022,630.36
  5. Step 5: Solve for x
    x = 18,022,630.36/4,902.27
  6. Step 6: Final answer
    x = 3,676.38

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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.