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Finding the Fourth Proportional to 3,795.96, 5,696.83 and 1,606.23

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Solution

The fourth proportional to 3,795.96, 5,696.83 and 1,606.23 is: 2,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.96 : 5,696.83 = 1,606.23 : x
  2. Step 2: Convert to fraction form
    3,795.96/5,696.83 = 1,606.23/x
  3. Step 3: Cross multiply
    3,795.96x = 5,696.83 × 1,606.23
  4. Step 4: Simplify right side
    3,795.96x = 9,150,421.26
  5. Step 5: Solve for x
    x = 9,150,421.26/3,795.96
  6. Step 6: Final answer
    x = 2,410.57

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