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Finding the Fourth Proportional to 5,836.26, 8,054.26 and 3,318.60

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Solution

The fourth proportional to 5,836.26, 8,054.26 and 3,318.60 is: 4,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.26 : 8,054.26 = 3,318.60 : x
  2. Step 2: Convert to fraction form
    5,836.26/8,054.26 = 3,318.60/x
  3. Step 3: Cross multiply
    5,836.26x = 8,054.26 × 3,318.60
  4. Step 4: Simplify right side
    5,836.26x = 26,728,867.24
  5. Step 5: Solve for x
    x = 26,728,867.24/5,836.26
  6. Step 6: Final answer
    x = 4,579.79

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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.