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Finding the Fourth Proportional to 3,976.19, 5,964.10 and 1,635.63

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Solution

The fourth proportional to 3,976.19, 5,964.10 and 1,635.63 is: 2,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.19 : 5,964.10 = 1,635.63 : x
  2. Step 2: Convert to fraction form
    3,976.19/5,964.10 = 1,635.63/x
  3. Step 3: Cross multiply
    3,976.19x = 5,964.10 × 1,635.63
  4. Step 4: Simplify right side
    3,976.19x = 9,755,034.43
  5. Step 5: Solve for x
    x = 9,755,034.43/3,976.19
  6. Step 6: Final answer
    x = 2,453.36

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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.