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Finding the Fourth Proportional to 5,975.76, 8,245.83 and 3,286.55

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Solution

The fourth proportional to 5,975.76, 8,245.83 and 3,286.55 is: 4,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.76 : 8,245.83 = 3,286.55 : x
  2. Step 2: Convert to fraction form
    5,975.76/8,245.83 = 3,286.55/x
  3. Step 3: Cross multiply
    5,975.76x = 8,245.83 × 3,286.55
  4. Step 4: Simplify right side
    5,975.76x = 27,100,291.36
  5. Step 5: Solve for x
    x = 27,100,291.36/5,975.76
  6. Step 6: Final answer
    x = 4,535.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.