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Finding the Fourth Proportional to 5,006.62, 7,504.71 and 2,234.59

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Solution

The fourth proportional to 5,006.62, 7,504.71 and 2,234.59 is: 3,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.62 : 7,504.71 = 2,234.59 : x
  2. Step 2: Convert to fraction form
    5,006.62/7,504.71 = 2,234.59/x
  3. Step 3: Cross multiply
    5,006.62x = 7,504.71 × 2,234.59
  4. Step 4: Simplify right side
    5,006.62x = 16,769,949.92
  5. Step 5: Solve for x
    x = 16,769,949.92/5,006.62
  6. Step 6: Final answer
    x = 3,349.56

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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.