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Finding the Fourth Proportional to 3,493.94, 5,237.40 and 1,646.06

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Solution

The fourth proportional to 3,493.94, 5,237.40 and 1,646.06 is: 2,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.94 : 5,237.40 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    3,493.94/5,237.40 = 1,646.06/x
  3. Step 3: Cross multiply
    3,493.94x = 5,237.40 × 1,646.06
  4. Step 4: Simplify right side
    3,493.94x = 8,621,074.64
  5. Step 5: Solve for x
    x = 8,621,074.64/3,493.94
  6. Step 6: Final answer
    x = 2,467.44

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