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Finding the Fourth Proportional to 3,646.13, 5,469.20 and 1,564.79

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Solution

The fourth proportional to 3,646.13, 5,469.20 and 1,564.79 is: 2,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.13 : 5,469.20 = 1,564.79 : x
  2. Step 2: Convert to fraction form
    3,646.13/5,469.20 = 1,564.79/x
  3. Step 3: Cross multiply
    3,646.13x = 5,469.20 × 1,564.79
  4. Step 4: Simplify right side
    3,646.13x = 8,558,149.47
  5. Step 5: Solve for x
    x = 8,558,149.47/3,646.13
  6. Step 6: Final answer
    x = 2,347.19

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