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Finding the Fourth Proportional to 4,805.20, 6,631.17 and 2,709.32

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Solution

The fourth proportional to 4,805.20, 6,631.17 and 2,709.32 is: 3,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.20 : 6,631.17 = 2,709.32 : x
  2. Step 2: Convert to fraction form
    4,805.20/6,631.17 = 2,709.32/x
  3. Step 3: Cross multiply
    4,805.20x = 6,631.17 × 2,709.32
  4. Step 4: Simplify right side
    4,805.20x = 17,965,961.50
  5. Step 5: Solve for x
    x = 17,965,961.50/4,805.20
  6. Step 6: Final answer
    x = 3,738.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.