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Finding the Fourth Proportional to 3,982.80, 5,494.73 and 2,566.37

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Solution

The fourth proportional to 3,982.80, 5,494.73 and 2,566.37 is: 3,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.80 : 5,494.73 = 2,566.37 : x
  2. Step 2: Convert to fraction form
    3,982.80/5,494.73 = 2,566.37/x
  3. Step 3: Cross multiply
    3,982.80x = 5,494.73 × 2,566.37
  4. Step 4: Simplify right side
    3,982.80x = 14,101,511.14
  5. Step 5: Solve for x
    x = 14,101,511.14/3,982.80
  6. Step 6: Final answer
    x = 3,540.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.