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Finding the Fourth Proportional to 5,286.38, 7,932.48 and 2,947.69

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Solution

The fourth proportional to 5,286.38, 7,932.48 and 2,947.69 is: 4,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.38 : 7,932.48 = 2,947.69 : x
  2. Step 2: Convert to fraction form
    5,286.38/7,932.48 = 2,947.69/x
  3. Step 3: Cross multiply
    5,286.38x = 7,932.48 × 2,947.69
  4. Step 4: Simplify right side
    5,286.38x = 23,382,490.83
  5. Step 5: Solve for x
    x = 23,382,490.83/5,286.38
  6. Step 6: Final answer
    x = 4,423.16

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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.