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Finding the Fourth Proportional to 5,536.80, 8,305.04 and 2,249.04

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Solution

The fourth proportional to 5,536.80, 8,305.04 and 2,249.04 is: 3,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.80 : 8,305.04 = 2,249.04 : x
  2. Step 2: Convert to fraction form
    5,536.80/8,305.04 = 2,249.04/x
  3. Step 3: Cross multiply
    5,536.80x = 8,305.04 × 2,249.04
  4. Step 4: Simplify right side
    5,536.80x = 18,678,367.16
  5. Step 5: Solve for x
    x = 18,678,367.16/5,536.80
  6. Step 6: Final answer
    x = 3,373.50

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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.