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Finding the Fourth Proportional to 3,206.55, 4,809.83 and 1,564.14

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Solution

The fourth proportional to 3,206.55, 4,809.83 and 1,564.14 is: 2,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.55 : 4,809.83 = 1,564.14 : x
  2. Step 2: Convert to fraction form
    3,206.55/4,809.83 = 1,564.14/x
  3. Step 3: Cross multiply
    3,206.55x = 4,809.83 × 1,564.14
  4. Step 4: Simplify right side
    3,206.55x = 7,523,239.68
  5. Step 5: Solve for x
    x = 7,523,239.68/3,206.55
  6. Step 6: Final answer
    x = 2,346.21

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