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Finding the Fourth Proportional to 5,337.38, 7,365.69 and 2,947.34

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Solution

The fourth proportional to 5,337.38, 7,365.69 and 2,947.34 is: 4,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.38 : 7,365.69 = 2,947.34 : x
  2. Step 2: Convert to fraction form
    5,337.38/7,365.69 = 2,947.34/x
  3. Step 3: Cross multiply
    5,337.38x = 7,365.69 × 2,947.34
  4. Step 4: Simplify right side
    5,337.38x = 21,709,192.76
  5. Step 5: Solve for x
    x = 21,709,192.76/5,337.38
  6. Step 6: Final answer
    x = 4,067.39

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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.