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Finding the Fourth Proportional to 3,178.91, 4,769.40 and 1,535.64

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Solution

The fourth proportional to 3,178.91, 4,769.40 and 1,535.64 is: 2,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.91 : 4,769.40 = 1,535.64 : x
  2. Step 2: Convert to fraction form
    3,178.91/4,769.40 = 1,535.64/x
  3. Step 3: Cross multiply
    3,178.91x = 4,769.40 × 1,535.64
  4. Step 4: Simplify right side
    3,178.91x = 7,324,081.42
  5. Step 5: Solve for x
    x = 7,324,081.42/3,178.91
  6. Step 6: Final answer
    x = 2,303.96

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