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Finding the Fourth Proportional to 4,615.86, 6,367.20 and 3,286.64

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Solution

The fourth proportional to 4,615.86, 6,367.20 and 3,286.64 is: 4,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.86 : 6,367.20 = 3,286.64 : x
  2. Step 2: Convert to fraction form
    4,615.86/6,367.20 = 3,286.64/x
  3. Step 3: Cross multiply
    4,615.86x = 6,367.20 × 3,286.64
  4. Step 4: Simplify right side
    4,615.86x = 20,926,694.21
  5. Step 5: Solve for x
    x = 20,926,694.21/4,615.86
  6. Step 6: Final answer
    x = 4,533.65

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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.