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Finding the Fourth Proportional to 4,755.62, 7,133.07 and 1,469.54

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Solution

The fourth proportional to 4,755.62, 7,133.07 and 1,469.54 is: 2,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.62 : 7,133.07 = 1,469.54 : x
  2. Step 2: Convert to fraction form
    4,755.62/7,133.07 = 1,469.54/x
  3. Step 3: Cross multiply
    4,755.62x = 7,133.07 × 1,469.54
  4. Step 4: Simplify right side
    4,755.62x = 10,482,331.69
  5. Step 5: Solve for x
    x = 10,482,331.69/4,755.62
  6. Step 6: Final answer
    x = 2,204.20

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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.