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Finding the Fourth Proportional to 3,369.24, 5,054.40 and 997.56

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Solution

The fourth proportional to 3,369.24, 5,054.40 and 997.56 is: 1,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.24 : 5,054.40 = 997.56 : x
  2. Step 2: Convert to fraction form
    3,369.24/5,054.40 = 997.56/x
  3. Step 3: Cross multiply
    3,369.24x = 5,054.40 × 997.56
  4. Step 4: Simplify right side
    3,369.24x = 5,042,067.26
  5. Step 5: Solve for x
    x = 5,042,067.26/3,369.24
  6. Step 6: Final answer
    x = 1,496.50

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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.