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Finding the Fourth Proportional to 3,932.56, 5,889.11 and 2,284.11

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Solution

The fourth proportional to 3,932.56, 5,889.11 and 2,284.11 is: 3,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.56 : 5,889.11 = 2,284.11 : x
  2. Step 2: Convert to fraction form
    3,932.56/5,889.11 = 2,284.11/x
  3. Step 3: Cross multiply
    3,932.56x = 5,889.11 × 2,284.11
  4. Step 4: Simplify right side
    3,932.56x = 13,451,375.04
  5. Step 5: Solve for x
    x = 13,451,375.04/3,932.56
  6. Step 6: Final answer
    x = 3,420.51

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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.