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Finding the Fourth Proportional to 3,857.48, 5,791.98 and 2,300.12

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Solution

The fourth proportional to 3,857.48, 5,791.98 and 2,300.12 is: 3,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.48 : 5,791.98 = 2,300.12 : x
  2. Step 2: Convert to fraction form
    3,857.48/5,791.98 = 2,300.12/x
  3. Step 3: Cross multiply
    3,857.48x = 5,791.98 × 2,300.12
  4. Step 4: Simplify right side
    3,857.48x = 13,322,249.04
  5. Step 5: Solve for x
    x = 13,322,249.04/3,857.48
  6. Step 6: Final answer
    x = 3,453.61

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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.