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Finding the Fourth Proportional to 5,965.92, 8,932.24 and 4,500.48

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Solution

The fourth proportional to 5,965.92, 8,932.24 and 4,500.48 is: 6,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.92 : 8,932.24 = 4,500.48 : x
  2. Step 2: Convert to fraction form
    5,965.92/8,932.24 = 4,500.48/x
  3. Step 3: Cross multiply
    5,965.92x = 8,932.24 × 4,500.48
  4. Step 4: Simplify right side
    5,965.92x = 40,199,367.48
  5. Step 5: Solve for x
    x = 40,199,367.48/5,965.92
  6. Step 6: Final answer
    x = 6,738.17

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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.