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Finding the Fourth Proportional to 3,538.54, 5,309.34 and 1,689.67

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Solution

The fourth proportional to 3,538.54, 5,309.34 and 1,689.67 is: 2,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.54 : 5,309.34 = 1,689.67 : x
  2. Step 2: Convert to fraction form
    3,538.54/5,309.34 = 1,689.67/x
  3. Step 3: Cross multiply
    3,538.54x = 5,309.34 × 1,689.67
  4. Step 4: Simplify right side
    3,538.54x = 8,971,032.52
  5. Step 5: Solve for x
    x = 8,971,032.52/3,538.54
  6. Step 6: Final answer
    x = 2,535.24

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