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Finding the Fourth Proportional to 3,535.83, 5,296.21 and 1,684.17

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Solution

The fourth proportional to 3,535.83, 5,296.21 and 1,684.17 is: 2,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.83 : 5,296.21 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    3,535.83/5,296.21 = 1,684.17/x
  3. Step 3: Cross multiply
    3,535.83x = 5,296.21 × 1,684.17
  4. Step 4: Simplify right side
    3,535.83x = 8,919,713.79
  5. Step 5: Solve for x
    x = 8,919,713.79/3,535.83
  6. Step 6: Final answer
    x = 2,522.66

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