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Finding the Fourth Proportional to 5,155.58, 7,733.80 and 1,646.09

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Solution

The fourth proportional to 5,155.58, 7,733.80 and 1,646.09 is: 2,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.58 : 7,733.80 = 1,646.09 : x
  2. Step 2: Convert to fraction form
    5,155.58/7,733.80 = 1,646.09/x
  3. Step 3: Cross multiply
    5,155.58x = 7,733.80 × 1,646.09
  4. Step 4: Simplify right side
    5,155.58x = 12,730,530.84
  5. Step 5: Solve for x
    x = 12,730,530.84/5,155.58
  6. Step 6: Final answer
    x = 2,469.27

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