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Finding the Fourth Proportional to 3,817.76, 5,729.78 and 1,628.96

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Solution

The fourth proportional to 3,817.76, 5,729.78 and 1,628.96 is: 2,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.76 : 5,729.78 = 1,628.96 : x
  2. Step 2: Convert to fraction form
    3,817.76/5,729.78 = 1,628.96/x
  3. Step 3: Cross multiply
    3,817.76x = 5,729.78 × 1,628.96
  4. Step 4: Simplify right side
    3,817.76x = 9,333,582.43
  5. Step 5: Solve for x
    x = 9,333,582.43/3,817.76
  6. Step 6: Final answer
    x = 2,444.78

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