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Finding the Fourth Proportional to 3,872.22, 5,837.51 and 3,621.66

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Solution

The fourth proportional to 3,872.22, 5,837.51 and 3,621.66 is: 5,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.22 : 5,837.51 = 3,621.66 : x
  2. Step 2: Convert to fraction form
    3,872.22/5,837.51 = 3,621.66/x
  3. Step 3: Cross multiply
    3,872.22x = 5,837.51 × 3,621.66
  4. Step 4: Simplify right side
    3,872.22x = 21,141,458.36
  5. Step 5: Solve for x
    x = 21,141,458.36/3,872.22
  6. Step 6: Final answer
    x = 5,459.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.