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Finding the Fourth Proportional to 3,249.02, 4,872.99 and 939.98

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Solution

The fourth proportional to 3,249.02, 4,872.99 and 939.98 is: 1,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.02 : 4,872.99 = 939.98 : x
  2. Step 2: Convert to fraction form
    3,249.02/4,872.99 = 939.98/x
  3. Step 3: Cross multiply
    3,249.02x = 4,872.99 × 939.98
  4. Step 4: Simplify right side
    3,249.02x = 4,580,513.14
  5. Step 5: Solve for x
    x = 4,580,513.14/3,249.02
  6. Step 6: Final answer
    x = 1,409.81

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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.