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Finding the Fourth Proportional to 5,959.88, 8,939.67 and 2,842.09

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Solution

The fourth proportional to 5,959.88, 8,939.67 and 2,842.09 is: 4,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.88 : 8,939.67 = 2,842.09 : x
  2. Step 2: Convert to fraction form
    5,959.88/8,939.67 = 2,842.09/x
  3. Step 3: Cross multiply
    5,959.88x = 8,939.67 × 2,842.09
  4. Step 4: Simplify right side
    5,959.88x = 25,407,313.70
  5. Step 5: Solve for x
    x = 25,407,313.70/5,959.88
  6. Step 6: Final answer
    x = 4,263.06

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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.