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Finding the Fourth Proportional to 3,885.26, 5,359.37 and 2,821.77

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Solution

The fourth proportional to 3,885.26, 5,359.37 and 2,821.77 is: 3,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.26 : 5,359.37 = 2,821.77 : x
  2. Step 2: Convert to fraction form
    3,885.26/5,359.37 = 2,821.77/x
  3. Step 3: Cross multiply
    3,885.26x = 5,359.37 × 2,821.77
  4. Step 4: Simplify right side
    3,885.26x = 15,122,895.38
  5. Step 5: Solve for x
    x = 15,122,895.38/3,885.26
  6. Step 6: Final answer
    x = 3,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.