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Finding the Fourth Proportional to 3,636.52, 5,446.20 and 1,781.80

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Solution

The fourth proportional to 3,636.52, 5,446.20 and 1,781.80 is: 2,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.52 : 5,446.20 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    3,636.52/5,446.20 = 1,781.80/x
  3. Step 3: Cross multiply
    3,636.52x = 5,446.20 × 1,781.80
  4. Step 4: Simplify right side
    3,636.52x = 9,704,039.16
  5. Step 5: Solve for x
    x = 9,704,039.16/3,636.52
  6. Step 6: Final answer
    x = 2,668.50

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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.