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Finding the Fourth Proportional to 5,539.24, 7,640.24 and 3,299.38

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Solution

The fourth proportional to 5,539.24, 7,640.24 and 3,299.38 is: 4,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.24 : 7,640.24 = 3,299.38 : x
  2. Step 2: Convert to fraction form
    5,539.24/7,640.24 = 3,299.38/x
  3. Step 3: Cross multiply
    5,539.24x = 7,640.24 × 3,299.38
  4. Step 4: Simplify right side
    5,539.24x = 25,208,055.05
  5. Step 5: Solve for x
    x = 25,208,055.05/5,539.24
  6. Step 6: Final answer
    x = 4,550.81

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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.