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Finding the Fourth Proportional to 3,633.92, 5,448 and 2,684.48

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Solution

The fourth proportional to 3,633.92, 5,448 and 2,684.48 is: 4,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,448 = 2,684.48 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,448 = 2,684.48/x
  3. Step 3: Cross multiply
    3,633.92x = 5,448 × 2,684.48
  4. Step 4: Simplify right side
    3,633.92x = 14,625,047.04
  5. Step 5: Solve for x
    x = 14,625,047.04/3,633.92
  6. Step 6: Final answer
    x = 4,024.59

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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.