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Finding the Fourth Proportional to 3,940.30, 5,906.80 and 1,473.24

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Solution

The fourth proportional to 3,940.30, 5,906.80 and 1,473.24 is: 2,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.30 : 5,906.80 = 1,473.24 : x
  2. Step 2: Convert to fraction form
    3,940.30/5,906.80 = 1,473.24/x
  3. Step 3: Cross multiply
    3,940.30x = 5,906.80 × 1,473.24
  4. Step 4: Simplify right side
    3,940.30x = 8,702,134.03
  5. Step 5: Solve for x
    x = 8,702,134.03/3,940.30
  6. Step 6: Final answer
    x = 2,208.50

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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.