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Finding the Fourth Proportional to 3,973.92, 5,960.03 and 1,633.34

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Solution

The fourth proportional to 3,973.92, 5,960.03 and 1,633.34 is: 2,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.92 : 5,960.03 = 1,633.34 : x
  2. Step 2: Convert to fraction form
    3,973.92/5,960.03 = 1,633.34/x
  3. Step 3: Cross multiply
    3,973.92x = 5,960.03 × 1,633.34
  4. Step 4: Simplify right side
    3,973.92x = 9,734,717.43
  5. Step 5: Solve for x
    x = 9,734,717.43/3,973.92
  6. Step 6: Final answer
    x = 2,449.65

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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.