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Finding the Fourth Proportional to 4,923.72, 6,799.32 and 3,942

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Solution

The fourth proportional to 4,923.72, 6,799.32 and 3,942 is: 5,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.72 : 6,799.32 = 3,942 : x
  2. Step 2: Convert to fraction form
    4,923.72/6,799.32 = 3,942/x
  3. Step 3: Cross multiply
    4,923.72x = 6,799.32 × 3,942
  4. Step 4: Simplify right side
    4,923.72x = 26,802,919.44
  5. Step 5: Solve for x
    x = 26,802,919.44/4,923.72
  6. Step 6: Final answer
    x = 5,443.63

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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.