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Finding the Fourth Proportional to 3,849.87, 5,785.64 and 2,290.16

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Solution

The fourth proportional to 3,849.87, 5,785.64 and 2,290.16 is: 3,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.87 : 5,785.64 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    3,849.87/5,785.64 = 2,290.16/x
  3. Step 3: Cross multiply
    3,849.87x = 5,785.64 × 2,290.16
  4. Step 4: Simplify right side
    3,849.87x = 13,250,044.32
  5. Step 5: Solve for x
    x = 13,250,044.32/3,849.87
  6. Step 6: Final answer
    x = 3,441.68

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