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Finding the Fourth Proportional to 5,184.63, 7,769.66 and 2,256.80

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Solution

The fourth proportional to 5,184.63, 7,769.66 and 2,256.80 is: 3,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.63 : 7,769.66 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    5,184.63/7,769.66 = 2,256.80/x
  3. Step 3: Cross multiply
    5,184.63x = 7,769.66 × 2,256.80
  4. Step 4: Simplify right side
    5,184.63x = 17,534,518.56
  5. Step 5: Solve for x
    x = 17,534,518.56/5,184.63
  6. Step 6: Final answer
    x = 3,382.02

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