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Finding the Fourth Proportional to 4,109.84, 6,164.80 and 1,512.78

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Solution

The fourth proportional to 4,109.84, 6,164.80 and 1,512.78 is: 2,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.84 : 6,164.80 = 1,512.78 : x
  2. Step 2: Convert to fraction form
    4,109.84/6,164.80 = 1,512.78/x
  3. Step 3: Cross multiply
    4,109.84x = 6,164.80 × 1,512.78
  4. Step 4: Simplify right side
    4,109.84x = 9,325,986.14
  5. Step 5: Solve for x
    x = 9,325,986.14/4,109.84
  6. Step 6: Final answer
    x = 2,269.18

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