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Finding the Fourth Proportional to 3,905.97, 5,856.86 and 1,564.80

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Solution

The fourth proportional to 3,905.97, 5,856.86 and 1,564.80 is: 2,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.97 : 5,856.86 = 1,564.80 : x
  2. Step 2: Convert to fraction form
    3,905.97/5,856.86 = 1,564.80/x
  3. Step 3: Cross multiply
    3,905.97x = 5,856.86 × 1,564.80
  4. Step 4: Simplify right side
    3,905.97x = 9,164,806.70
  5. Step 5: Solve for x
    x = 9,164,806.70/3,905.97
  6. Step 6: Final answer
    x = 2,346.36

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