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Finding the Fourth Proportional to 4,939.98, 6,814.02 and 2,949

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Solution

The fourth proportional to 4,939.98, 6,814.02 and 2,949 is: 4,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.98 : 6,814.02 = 2,949 : x
  2. Step 2: Convert to fraction form
    4,939.98/6,814.02 = 2,949/x
  3. Step 3: Cross multiply
    4,939.98x = 6,814.02 × 2,949
  4. Step 4: Simplify right side
    4,939.98x = 20,094,544.98
  5. Step 5: Solve for x
    x = 20,094,544.98/4,939.98
  6. Step 6: Final answer
    x = 4,067.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.