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Finding the Fourth Proportional to 3,295.23, 4,939.86 and 1,213.82

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Solution

The fourth proportional to 3,295.23, 4,939.86 and 1,213.82 is: 1,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.23 : 4,939.86 = 1,213.82 : x
  2. Step 2: Convert to fraction form
    3,295.23/4,939.86 = 1,213.82/x
  3. Step 3: Cross multiply
    3,295.23x = 4,939.86 × 1,213.82
  4. Step 4: Simplify right side
    3,295.23x = 5,996,076.17
  5. Step 5: Solve for x
    x = 5,996,076.17/3,295.23
  6. Step 6: Final answer
    x = 1,819.63

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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.