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Finding the Fourth Proportional to 4,954.14, 6,837.39 and 2,858.31

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Solution

The fourth proportional to 4,954.14, 6,837.39 and 2,858.31 is: 3,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.14 : 6,837.39 = 2,858.31 : x
  2. Step 2: Convert to fraction form
    4,954.14/6,837.39 = 2,858.31/x
  3. Step 3: Cross multiply
    4,954.14x = 6,837.39 × 2,858.31
  4. Step 4: Simplify right side
    4,954.14x = 19,543,380.21
  5. Step 5: Solve for x
    x = 19,543,380.21/4,954.14
  6. Step 6: Final answer
    x = 3,944.86

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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.