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Finding the Fourth Proportional to 5,286.72, 7,933.94 and 4,259.13

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Solution

The fourth proportional to 5,286.72, 7,933.94 and 4,259.13 is: 6,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.72 : 7,933.94 = 4,259.13 : x
  2. Step 2: Convert to fraction form
    5,286.72/7,933.94 = 4,259.13/x
  3. Step 3: Cross multiply
    5,286.72x = 7,933.94 × 4,259.13
  4. Step 4: Simplify right side
    5,286.72x = 33,791,660.58
  5. Step 5: Solve for x
    x = 33,791,660.58/5,286.72
  6. Step 6: Final answer
    x = 6,391.80

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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.