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Finding the Fourth Proportional to 3,511.91, 5,266.13 and 1,171.11

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Solution

The fourth proportional to 3,511.91, 5,266.13 and 1,171.11 is: 1,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.91 : 5,266.13 = 1,171.11 : x
  2. Step 2: Convert to fraction form
    3,511.91/5,266.13 = 1,171.11/x
  3. Step 3: Cross multiply
    3,511.91x = 5,266.13 × 1,171.11
  4. Step 4: Simplify right side
    3,511.91x = 6,167,217.50
  5. Step 5: Solve for x
    x = 6,167,217.50/3,511.91
  6. Step 6: Final answer
    x = 1,756.09

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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.