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Finding the Fourth Proportional to 5,276.55, 7,286.73 and 3,288

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Solution

The fourth proportional to 5,276.55, 7,286.73 and 3,288 is: 4,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.55 : 7,286.73 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,276.55/7,286.73 = 3,288/x
  3. Step 3: Cross multiply
    5,276.55x = 7,286.73 × 3,288
  4. Step 4: Simplify right side
    5,276.55x = 23,958,768.24
  5. Step 5: Solve for x
    x = 23,958,768.24/5,276.55
  6. Step 6: Final answer
    x = 4,540.61

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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.