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Finding the Fourth Proportional to 3,964.89, 5,947.31 and 1,003.33

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Solution

The fourth proportional to 3,964.89, 5,947.31 and 1,003.33 is: 1,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.89 : 5,947.31 = 1,003.33 : x
  2. Step 2: Convert to fraction form
    3,964.89/5,947.31 = 1,003.33/x
  3. Step 3: Cross multiply
    3,964.89x = 5,947.31 × 1,003.33
  4. Step 4: Simplify right side
    3,964.89x = 5,967,102.18
  5. Step 5: Solve for x
    x = 5,967,102.18/3,964.89
  6. Step 6: Final answer
    x = 1,504.99

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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.