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Finding the Fourth Proportional to 5,959.37, 8,226.63 and 4,074

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Solution

The fourth proportional to 5,959.37, 8,226.63 and 4,074 is: 5,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.37 : 8,226.63 = 4,074 : x
  2. Step 2: Convert to fraction form
    5,959.37/8,226.63 = 4,074/x
  3. Step 3: Cross multiply
    5,959.37x = 8,226.63 × 4,074
  4. Step 4: Simplify right side
    5,959.37x = 33,515,290.62
  5. Step 5: Solve for x
    x = 33,515,290.62/5,959.37
  6. Step 6: Final answer
    x = 5,623.97

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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.