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Finding the Fourth Proportional to 5,286.68, 7,930.14 and 1,391.21

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Solution

The fourth proportional to 5,286.68, 7,930.14 and 1,391.21 is: 2,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.68 : 7,930.14 = 1,391.21 : x
  2. Step 2: Convert to fraction form
    5,286.68/7,930.14 = 1,391.21/x
  3. Step 3: Cross multiply
    5,286.68x = 7,930.14 × 1,391.21
  4. Step 4: Simplify right side
    5,286.68x = 11,032,490.07
  5. Step 5: Solve for x
    x = 11,032,490.07/5,286.68
  6. Step 6: Final answer
    x = 2,086.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.