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Finding the Fourth Proportional to 4,930.64, 6,800.43 and 3,162.38

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Solution

The fourth proportional to 4,930.64, 6,800.43 and 3,162.38 is: 4,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.64 : 6,800.43 = 3,162.38 : x
  2. Step 2: Convert to fraction form
    4,930.64/6,800.43 = 3,162.38/x
  3. Step 3: Cross multiply
    4,930.64x = 6,800.43 × 3,162.38
  4. Step 4: Simplify right side
    4,930.64x = 21,505,534.73
  5. Step 5: Solve for x
    x = 21,505,534.73/4,930.64
  6. Step 6: Final answer
    x = 4,361.61

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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.