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Finding the Fourth Proportional to 3,782.78, 5,220.70 and 2,290.66

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Solution

The fourth proportional to 3,782.78, 5,220.70 and 2,290.66 is: 3,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.78 : 5,220.70 = 2,290.66 : x
  2. Step 2: Convert to fraction form
    3,782.78/5,220.70 = 2,290.66/x
  3. Step 3: Cross multiply
    3,782.78x = 5,220.70 × 2,290.66
  4. Step 4: Simplify right side
    3,782.78x = 11,958,872.14
  5. Step 5: Solve for x
    x = 11,958,872.14/3,782.78
  6. Step 6: Final answer
    x = 3,161.39

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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.