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Finding the Fourth Proportional to 4,882.14, 6,736.37 and 2,893.39

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Solution

The fourth proportional to 4,882.14, 6,736.37 and 2,893.39 is: 3,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.14 : 6,736.37 = 2,893.39 : x
  2. Step 2: Convert to fraction form
    4,882.14/6,736.37 = 2,893.39/x
  3. Step 3: Cross multiply
    4,882.14x = 6,736.37 × 2,893.39
  4. Step 4: Simplify right side
    4,882.14x = 19,490,914.29
  5. Step 5: Solve for x
    x = 19,490,914.29/4,882.14
  6. Step 6: Final answer
    x = 3,992.29

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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.