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Finding the Fourth Proportional to 3,634.08, 5,449.08 and 1,781.22

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Solution

The fourth proportional to 3,634.08, 5,449.08 and 1,781.22 is: 2,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.08 : 5,449.08 = 1,781.22 : x
  2. Step 2: Convert to fraction form
    3,634.08/5,449.08 = 1,781.22/x
  3. Step 3: Cross multiply
    3,634.08x = 5,449.08 × 1,781.22
  4. Step 4: Simplify right side
    3,634.08x = 9,706,010.28
  5. Step 5: Solve for x
    x = 9,706,010.28/3,634.08
  6. Step 6: Final answer
    x = 2,670.83

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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.