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Finding the Fourth Proportional to 3,786.44, 5,678.96 and 1,706.05

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Solution

The fourth proportional to 3,786.44, 5,678.96 and 1,706.05 is: 2,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.44 : 5,678.96 = 1,706.05 : x
  2. Step 2: Convert to fraction form
    3,786.44/5,678.96 = 1,706.05/x
  3. Step 3: Cross multiply
    3,786.44x = 5,678.96 × 1,706.05
  4. Step 4: Simplify right side
    3,786.44x = 9,688,561.31
  5. Step 5: Solve for x
    x = 9,688,561.31/3,786.44
  6. Step 6: Final answer
    x = 2,558.76

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