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Finding the Fourth Proportional to 4,939.38, 6,804 and 3,947.94

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Solution

The fourth proportional to 4,939.38, 6,804 and 3,947.94 is: 5,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.38 : 6,804 = 3,947.94 : x
  2. Step 2: Convert to fraction form
    4,939.38/6,804 = 3,947.94/x
  3. Step 3: Cross multiply
    4,939.38x = 6,804 × 3,947.94
  4. Step 4: Simplify right side
    4,939.38x = 26,861,783.76
  5. Step 5: Solve for x
    x = 26,861,783.76/4,939.38
  6. Step 6: Final answer
    x = 5,438.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.