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Finding the Fourth Proportional to 5,967.93, 8,939.70 and 2,838.47

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Solution

The fourth proportional to 5,967.93, 8,939.70 and 2,838.47 is: 4,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.93 : 8,939.70 = 2,838.47 : x
  2. Step 2: Convert to fraction form
    5,967.93/8,939.70 = 2,838.47/x
  3. Step 3: Cross multiply
    5,967.93x = 8,939.70 × 2,838.47
  4. Step 4: Simplify right side
    5,967.93x = 25,375,062.68
  5. Step 5: Solve for x
    x = 25,375,062.68/5,967.93
  6. Step 6: Final answer
    x = 4,251.90

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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.