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Finding the Fourth Proportional to 3,837.90, 5,756.85 and 1,645.21

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Solution

The fourth proportional to 3,837.90, 5,756.85 and 1,645.21 is: 2,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.90 : 5,756.85 = 1,645.21 : x
  2. Step 2: Convert to fraction form
    3,837.90/5,756.85 = 1,645.21/x
  3. Step 3: Cross multiply
    3,837.90x = 5,756.85 × 1,645.21
  4. Step 4: Simplify right side
    3,837.90x = 9,471,227.19
  5. Step 5: Solve for x
    x = 9,471,227.19/3,837.90
  6. Step 6: Final answer
    x = 2,467.82

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