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Finding the Fourth Proportional to 4,666.62, 6,434.52 and 3,824.64

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Solution

The fourth proportional to 4,666.62, 6,434.52 and 3,824.64 is: 5,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.62 : 6,434.52 = 3,824.64 : x
  2. Step 2: Convert to fraction form
    4,666.62/6,434.52 = 3,824.64/x
  3. Step 3: Cross multiply
    4,666.62x = 6,434.52 × 3,824.64
  4. Step 4: Simplify right side
    4,666.62x = 24,609,722.57
  5. Step 5: Solve for x
    x = 24,609,722.57/4,666.62
  6. Step 6: Final answer
    x = 5,273.56

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