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Finding the Fourth Proportional to 3,511.54, 5,266.37 and 1,171.61

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Solution

The fourth proportional to 3,511.54, 5,266.37 and 1,171.61 is: 1,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.54 : 5,266.37 = 1,171.61 : x
  2. Step 2: Convert to fraction form
    3,511.54/5,266.37 = 1,171.61/x
  3. Step 3: Cross multiply
    3,511.54x = 5,266.37 × 1,171.61
  4. Step 4: Simplify right side
    3,511.54x = 6,170,151.13
  5. Step 5: Solve for x
    x = 6,170,151.13/3,511.54
  6. Step 6: Final answer
    x = 1,757.11

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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.