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Finding the Fourth Proportional to 3,783.78, 5,221.20 and 2,212.77

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Solution

The fourth proportional to 3,783.78, 5,221.20 and 2,212.77 is: 3,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.78 : 5,221.20 = 2,212.77 : x
  2. Step 2: Convert to fraction form
    3,783.78/5,221.20 = 2,212.77/x
  3. Step 3: Cross multiply
    3,783.78x = 5,221.20 × 2,212.77
  4. Step 4: Simplify right side
    3,783.78x = 11,553,314.72
  5. Step 5: Solve for x
    x = 11,553,314.72/3,783.78
  6. Step 6: Final answer
    x = 3,053.38

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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.