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Finding the Fourth Proportional to 5,007.75, 7,500.44 and 3,542.43

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Solution

The fourth proportional to 5,007.75, 7,500.44 and 3,542.43 is: 5,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.75 : 7,500.44 = 3,542.43 : x
  2. Step 2: Convert to fraction form
    5,007.75/7,500.44 = 3,542.43/x
  3. Step 3: Cross multiply
    5,007.75x = 7,500.44 × 3,542.43
  4. Step 4: Simplify right side
    5,007.75x = 26,569,765.96
  5. Step 5: Solve for x
    x = 26,569,765.96/5,007.75
  6. Step 6: Final answer
    x = 5,305.73

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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.