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Finding the Fourth Proportional to 3,668.53, 5,493.39 and 2,023.25

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Solution

The fourth proportional to 3,668.53, 5,493.39 and 2,023.25 is: 3,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.53 : 5,493.39 = 2,023.25 : x
  2. Step 2: Convert to fraction form
    3,668.53/5,493.39 = 2,023.25/x
  3. Step 3: Cross multiply
    3,668.53x = 5,493.39 × 2,023.25
  4. Step 4: Simplify right side
    3,668.53x = 11,114,473.85
  5. Step 5: Solve for x
    x = 11,114,473.85/3,668.53
  6. Step 6: Final answer
    x = 3,029.68

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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.