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Finding the Fourth Proportional to 3,709.97, 5,571.32 and 3,294.44

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Solution

The fourth proportional to 3,709.97, 5,571.32 and 3,294.44 is: 4,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.97 : 5,571.32 = 3,294.44 : x
  2. Step 2: Convert to fraction form
    3,709.97/5,571.32 = 3,294.44/x
  3. Step 3: Cross multiply
    3,709.97x = 5,571.32 × 3,294.44
  4. Step 4: Simplify right side
    3,709.97x = 18,354,379.46
  5. Step 5: Solve for x
    x = 18,354,379.46/3,709.97
  6. Step 6: Final answer
    x = 4,947.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.