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Finding the Fourth Proportional to 3,424.73, 5,137.11 and 1,866.29

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Solution

The fourth proportional to 3,424.73, 5,137.11 and 1,866.29 is: 2,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.73 : 5,137.11 = 1,866.29 : x
  2. Step 2: Convert to fraction form
    3,424.73/5,137.11 = 1,866.29/x
  3. Step 3: Cross multiply
    3,424.73x = 5,137.11 × 1,866.29
  4. Step 4: Simplify right side
    3,424.73x = 9,587,311.34
  5. Step 5: Solve for x
    x = 9,587,311.34/3,424.73
  6. Step 6: Final answer
    x = 2,799.44

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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.