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Finding the Fourth Proportional to 5,071.38, 6,999.57 and 2,947.26

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Solution

The fourth proportional to 5,071.38, 6,999.57 and 2,947.26 is: 4,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.38 : 6,999.57 = 2,947.26 : x
  2. Step 2: Convert to fraction form
    5,071.38/6,999.57 = 2,947.26/x
  3. Step 3: Cross multiply
    5,071.38x = 6,999.57 × 2,947.26
  4. Step 4: Simplify right side
    5,071.38x = 20,629,552.68
  5. Step 5: Solve for x
    x = 20,629,552.68/5,071.38
  6. Step 6: Final answer
    x = 4,067.84

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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.