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Finding the Fourth Proportional to 3,786.48, 5,678.10 and 1,706.04

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Solution

The fourth proportional to 3,786.48, 5,678.10 and 1,706.04 is: 2,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.48 : 5,678.10 = 1,706.04 : x
  2. Step 2: Convert to fraction form
    3,786.48/5,678.10 = 1,706.04/x
  3. Step 3: Cross multiply
    3,786.48x = 5,678.10 × 1,706.04
  4. Step 4: Simplify right side
    3,786.48x = 9,687,065.72
  5. Step 5: Solve for x
    x = 9,687,065.72/3,786.48
  6. Step 6: Final answer
    x = 2,558.33

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