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Finding the Fourth Proportional to 5,536.43, 8,305.71 and 1,789.22

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Solution

The fourth proportional to 5,536.43, 8,305.71 and 1,789.22 is: 2,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.43 : 8,305.71 = 1,789.22 : x
  2. Step 2: Convert to fraction form
    5,536.43/8,305.71 = 1,789.22/x
  3. Step 3: Cross multiply
    5,536.43x = 8,305.71 × 1,789.22
  4. Step 4: Simplify right side
    5,536.43x = 14,860,736.56
  5. Step 5: Solve for x
    x = 14,860,736.56/5,536.43
  6. Step 6: Final answer
    x = 2,684.17

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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.