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Finding the Fourth Proportional to 3,789.65, 5,685.60 and 2,290.34

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Solution

The fourth proportional to 3,789.65, 5,685.60 and 2,290.34 is: 3,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.65 : 5,685.60 = 2,290.34 : x
  2. Step 2: Convert to fraction form
    3,789.65/5,685.60 = 2,290.34/x
  3. Step 3: Cross multiply
    3,789.65x = 5,685.60 × 2,290.34
  4. Step 4: Simplify right side
    3,789.65x = 13,021,928.68
  5. Step 5: Solve for x
    x = 13,021,928.68/3,789.65
  6. Step 6: Final answer
    x = 3,436.19

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