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Finding the Fourth Proportional to 3,668.67, 5,504.22 and 2,282.96

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Solution

The fourth proportional to 3,668.67, 5,504.22 and 2,282.96 is: 3,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.67 : 5,504.22 = 2,282.96 : x
  2. Step 2: Convert to fraction form
    3,668.67/5,504.22 = 2,282.96/x
  3. Step 3: Cross multiply
    3,668.67x = 5,504.22 × 2,282.96
  4. Step 4: Simplify right side
    3,668.67x = 12,565,927.85
  5. Step 5: Solve for x
    x = 12,565,927.85/3,668.67
  6. Step 6: Final answer
    x = 3,425.20

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Why These Related Problems?

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