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Finding the Fourth Proportional to 3,884.34, 5,825.49 and 2,651.52

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Solution

The fourth proportional to 3,884.34, 5,825.49 and 2,651.52 is: 3,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.34 : 5,825.49 = 2,651.52 : x
  2. Step 2: Convert to fraction form
    3,884.34/5,825.49 = 2,651.52/x
  3. Step 3: Cross multiply
    3,884.34x = 5,825.49 × 2,651.52
  4. Step 4: Simplify right side
    3,884.34x = 15,446,403.24
  5. Step 5: Solve for x
    x = 15,446,403.24/3,884.34
  6. Step 6: Final answer
    x = 3,976.58

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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.