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Finding the Fourth Proportional to 6,659.93, 9,190.38 and 3,825.31

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Solution

The fourth proportional to 6,659.93, 9,190.38 and 3,825.31 is: 5,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.93 : 9,190.38 = 3,825.31 : x
  2. Step 2: Convert to fraction form
    6,659.93/9,190.38 = 3,825.31/x
  3. Step 3: Cross multiply
    6,659.93x = 9,190.38 × 3,825.31
  4. Step 4: Simplify right side
    6,659.93x = 35,156,029.54
  5. Step 5: Solve for x
    x = 35,156,029.54/6,659.93
  6. Step 6: Final answer
    x = 5,278.74

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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.