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Finding the Fourth Proportional to 3,976.11, 5,452.16 and 3,837.06

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Solution

The fourth proportional to 3,976.11, 5,452.16 and 3,837.06 is: 5,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.11 : 5,452.16 = 3,837.06 : x
  2. Step 2: Convert to fraction form
    3,976.11/5,452.16 = 3,837.06/x
  3. Step 3: Cross multiply
    3,976.11x = 5,452.16 × 3,837.06
  4. Step 4: Simplify right side
    3,976.11x = 20,920,245.86
  5. Step 5: Solve for x
    x = 20,920,245.86/3,976.11
  6. Step 6: Final answer
    x = 5,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.