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Finding the Fourth Proportional to 3,668.31, 5,504.46 and 3,469.86

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Solution

The fourth proportional to 3,668.31, 5,504.46 and 3,469.86 is: 5,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.31 : 5,504.46 = 3,469.86 : x
  2. Step 2: Convert to fraction form
    3,668.31/5,504.46 = 3,469.86/x
  3. Step 3: Cross multiply
    3,668.31x = 5,504.46 × 3,469.86
  4. Step 4: Simplify right side
    3,668.31x = 19,099,708.04
  5. Step 5: Solve for x
    x = 19,099,708.04/3,668.31
  6. Step 6: Final answer
    x = 5,206.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.