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Finding the Fourth Proportional to 3,042.32, 4,199.09 and 2,544.09

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Solution

The fourth proportional to 3,042.32, 4,199.09 and 2,544.09 is: 3,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.32 : 4,199.09 = 2,544.09 : x
  2. Step 2: Convert to fraction form
    3,042.32/4,199.09 = 2,544.09/x
  3. Step 3: Cross multiply
    3,042.32x = 4,199.09 × 2,544.09
  4. Step 4: Simplify right side
    3,042.32x = 10,682,850.16
  5. Step 5: Solve for x
    x = 10,682,850.16/3,042.32
  6. Step 6: Final answer
    x = 3,511.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.