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Finding the Fourth Proportional to 3,489.59, 5,234.87 and 1,024.06

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Solution

The fourth proportional to 3,489.59, 5,234.87 and 1,024.06 is: 1,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.59 : 5,234.87 = 1,024.06 : x
  2. Step 2: Convert to fraction form
    3,489.59/5,234.87 = 1,024.06/x
  3. Step 3: Cross multiply
    3,489.59x = 5,234.87 × 1,024.06
  4. Step 4: Simplify right side
    3,489.59x = 5,360,815.85
  5. Step 5: Solve for x
    x = 5,360,815.85/3,489.59
  6. Step 6: Final answer
    x = 1,536.23

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