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Finding the Fourth Proportional to 3,542.36, 5,309.10 and 2,244.20

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Solution

The fourth proportional to 3,542.36, 5,309.10 and 2,244.20 is: 3,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.36 : 5,309.10 = 2,244.20 : x
  2. Step 2: Convert to fraction form
    3,542.36/5,309.10 = 2,244.20/x
  3. Step 3: Cross multiply
    3,542.36x = 5,309.10 × 2,244.20
  4. Step 4: Simplify right side
    3,542.36x = 11,914,682.22
  5. Step 5: Solve for x
    x = 11,914,682.22/3,542.36
  6. Step 6: Final answer
    x = 3,363.49

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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.