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Finding the Fourth Proportional to 3,669.85, 5,063.16 and 2,344.33

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Solution

The fourth proportional to 3,669.85, 5,063.16 and 2,344.33 is: 3,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.85 : 5,063.16 = 2,344.33 : x
  2. Step 2: Convert to fraction form
    3,669.85/5,063.16 = 2,344.33/x
  3. Step 3: Cross multiply
    3,669.85x = 5,063.16 × 2,344.33
  4. Step 4: Simplify right side
    3,669.85x = 11,869,717.88
  5. Step 5: Solve for x
    x = 11,869,717.88/3,669.85
  6. Step 6: Final answer
    x = 3,234.39

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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.