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Finding the Fourth Proportional to 3,935.54, 5,431.03 and 2,167.14

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Solution

The fourth proportional to 3,935.54, 5,431.03 and 2,167.14 is: 2,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.54 : 5,431.03 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    3,935.54/5,431.03 = 2,167.14/x
  3. Step 3: Cross multiply
    3,935.54x = 5,431.03 × 2,167.14
  4. Step 4: Simplify right side
    3,935.54x = 11,769,791.52
  5. Step 5: Solve for x
    x = 11,769,791.52/3,935.54
  6. Step 6: Final answer
    x = 2,990.65

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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.