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Finding the Fourth Proportional to 3,564.84, 5,349.56 and 1,922.54

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Solution

The fourth proportional to 3,564.84, 5,349.56 and 1,922.54 is: 2,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 5,349.56 = 1,922.54 : x
  2. Step 2: Convert to fraction form
    3,564.84/5,349.56 = 1,922.54/x
  3. Step 3: Cross multiply
    3,564.84x = 5,349.56 × 1,922.54
  4. Step 4: Simplify right side
    3,564.84x = 10,284,706.72
  5. Step 5: Solve for x
    x = 10,284,706.72/3,564.84
  6. Step 6: Final answer
    x = 2,885.04

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