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Finding the Fourth Proportional to 5,156.09, 7,733.73 and 1,645.95

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Solution

The fourth proportional to 5,156.09, 7,733.73 and 1,645.95 is: 2,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.09 : 7,733.73 = 1,645.95 : x
  2. Step 2: Convert to fraction form
    5,156.09/7,733.73 = 1,645.95/x
  3. Step 3: Cross multiply
    5,156.09x = 7,733.73 × 1,645.95
  4. Step 4: Simplify right side
    5,156.09x = 12,729,332.89
  5. Step 5: Solve for x
    x = 12,729,332.89/5,156.09
  6. Step 6: Final answer
    x = 2,468.80

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