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Finding the Fourth Proportional to 3,636.63, 5,455.17 and 1,171.85

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Solution

The fourth proportional to 3,636.63, 5,455.17 and 1,171.85 is: 1,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.63 : 5,455.17 = 1,171.85 : x
  2. Step 2: Convert to fraction form
    3,636.63/5,455.17 = 1,171.85/x
  3. Step 3: Cross multiply
    3,636.63x = 5,455.17 × 1,171.85
  4. Step 4: Simplify right side
    3,636.63x = 6,392,613.69
  5. Step 5: Solve for x
    x = 6,392,613.69/3,636.63
  6. Step 6: Final answer
    x = 1,757.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.