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Finding the Fourth Proportional to 3,944.32, 5,913.60 and 1,889.92

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Solution

The fourth proportional to 3,944.32, 5,913.60 and 1,889.92 is: 2,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.32 : 5,913.60 = 1,889.92 : x
  2. Step 2: Convert to fraction form
    3,944.32/5,913.60 = 1,889.92/x
  3. Step 3: Cross multiply
    3,944.32x = 5,913.60 × 1,889.92
  4. Step 4: Simplify right side
    3,944.32x = 11,176,230.91
  5. Step 5: Solve for x
    x = 11,176,230.91/3,944.32
  6. Step 6: Final answer
    x = 2,833.50

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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.