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Finding the Fourth Proportional to 3,647.40, 5,471.11 and 2,086.31

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Solution

The fourth proportional to 3,647.40, 5,471.11 and 2,086.31 is: 3,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.40 : 5,471.11 = 2,086.31 : x
  2. Step 2: Convert to fraction form
    3,647.40/5,471.11 = 2,086.31/x
  3. Step 3: Cross multiply
    3,647.40x = 5,471.11 × 2,086.31
  4. Step 4: Simplify right side
    3,647.40x = 11,414,431.50
  5. Step 5: Solve for x
    x = 11,414,431.50/3,647.40
  6. Step 6: Final answer
    x = 3,129.47

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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.