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Finding the Fourth Proportional to 4,823.56, 7,234.80 and 1,536.40

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Solution

The fourth proportional to 4,823.56, 7,234.80 and 1,536.40 is: 2,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.56 : 7,234.80 = 1,536.40 : x
  2. Step 2: Convert to fraction form
    4,823.56/7,234.80 = 1,536.40/x
  3. Step 3: Cross multiply
    4,823.56x = 7,234.80 × 1,536.40
  4. Step 4: Simplify right side
    4,823.56x = 11,115,546.72
  5. Step 5: Solve for x
    x = 11,115,546.72/4,823.56
  6. Step 6: Final answer
    x = 2,304.43

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