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Finding the Fourth Proportional to 3,889.29, 5,332.32 and 3,819.30

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Solution

The fourth proportional to 3,889.29, 5,332.32 and 3,819.30 is: 5,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.29 : 5,332.32 = 3,819.30 : x
  2. Step 2: Convert to fraction form
    3,889.29/5,332.32 = 3,819.30/x
  3. Step 3: Cross multiply
    3,889.29x = 5,332.32 × 3,819.30
  4. Step 4: Simplify right side
    3,889.29x = 20,365,729.78
  5. Step 5: Solve for x
    x = 20,365,729.78/3,889.29
  6. Step 6: Final answer
    x = 5,236.36

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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.