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Finding the Fourth Proportional to 3,935.59, 5,431.14 and 2,167.15

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Solution

The fourth proportional to 3,935.59, 5,431.14 and 2,167.15 is: 2,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.59 : 5,431.14 = 2,167.15 : x
  2. Step 2: Convert to fraction form
    3,935.59/5,431.14 = 2,167.15/x
  3. Step 3: Cross multiply
    3,935.59x = 5,431.14 × 2,167.15
  4. Step 4: Simplify right side
    3,935.59x = 11,770,095.05
  5. Step 5: Solve for x
    x = 11,770,095.05/3,935.59
  6. Step 6: Final answer
    x = 2,990.68

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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.