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Finding the Fourth Proportional to 3,569.50, 5,350.20 and 2,010.25

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Solution

The fourth proportional to 3,569.50, 5,350.20 and 2,010.25 is: 3,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.50 : 5,350.20 = 2,010.25 : x
  2. Step 2: Convert to fraction form
    3,569.50/5,350.20 = 2,010.25/x
  3. Step 3: Cross multiply
    3,569.50x = 5,350.20 × 2,010.25
  4. Step 4: Simplify right side
    3,569.50x = 10,755,239.55
  5. Step 5: Solve for x
    x = 10,755,239.55/3,569.50
  6. Step 6: Final answer
    x = 3,013.09

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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.