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Finding the Fourth Proportional to 3,564.83, 5,347.24 and 1,922.15

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Solution

The fourth proportional to 3,564.83, 5,347.24 and 1,922.15 is: 2,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.83 : 5,347.24 = 1,922.15 : x
  2. Step 2: Convert to fraction form
    3,564.83/5,347.24 = 1,922.15/x
  3. Step 3: Cross multiply
    3,564.83x = 5,347.24 × 1,922.15
  4. Step 4: Simplify right side
    3,564.83x = 10,278,170.63
  5. Step 5: Solve for x
    x = 10,278,170.63/3,564.83
  6. Step 6: Final answer
    x = 2,883.22

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