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Finding the Fourth Proportional to 3,892.69, 5,839.67 and 1,552.69

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Solution

The fourth proportional to 3,892.69, 5,839.67 and 1,552.69 is: 2,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.69 : 5,839.67 = 1,552.69 : x
  2. Step 2: Convert to fraction form
    3,892.69/5,839.67 = 1,552.69/x
  3. Step 3: Cross multiply
    3,892.69x = 5,839.67 × 1,552.69
  4. Step 4: Simplify right side
    3,892.69x = 9,067,197.21
  5. Step 5: Solve for x
    x = 9,067,197.21/3,892.69
  6. Step 6: Final answer
    x = 2,329.29

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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.