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Finding the Fourth Proportional to 5,470.93, 8,204.37 and 1,959.97

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Solution

The fourth proportional to 5,470.93, 8,204.37 and 1,959.97 is: 2,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.93 : 8,204.37 = 1,959.97 : x
  2. Step 2: Convert to fraction form
    5,470.93/8,204.37 = 1,959.97/x
  3. Step 3: Cross multiply
    5,470.93x = 8,204.37 × 1,959.97
  4. Step 4: Simplify right side
    5,470.93x = 16,080,319.07
  5. Step 5: Solve for x
    x = 16,080,319.07/5,470.93
  6. Step 6: Final answer
    x = 2,939.23

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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.