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Finding the Fourth Proportional to 4,933.78, 6,805.29 and 3,884.02

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Solution

The fourth proportional to 4,933.78, 6,805.29 and 3,884.02 is: 5,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.78 : 6,805.29 = 3,884.02 : x
  2. Step 2: Convert to fraction form
    4,933.78/6,805.29 = 3,884.02/x
  3. Step 3: Cross multiply
    4,933.78x = 6,805.29 × 3,884.02
  4. Step 4: Simplify right side
    4,933.78x = 26,431,882.47
  5. Step 5: Solve for x
    x = 26,431,882.47/4,933.78
  6. Step 6: Final answer
    x = 5,357.33

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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.