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Finding the Fourth Proportional to 3,789.88, 5,230.06 and 2,217.66

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Solution

The fourth proportional to 3,789.88, 5,230.06 and 2,217.66 is: 3,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.88 : 5,230.06 = 2,217.66 : x
  2. Step 2: Convert to fraction form
    3,789.88/5,230.06 = 2,217.66/x
  3. Step 3: Cross multiply
    3,789.88x = 5,230.06 × 2,217.66
  4. Step 4: Simplify right side
    3,789.88x = 11,598,494.86
  5. Step 5: Solve for x
    x = 11,598,494.86/3,789.88
  6. Step 6: Final answer
    x = 3,060.39

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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.