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Finding the Fourth Proportional to 3,814.59, 5,724.05 and 1,762.59

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Solution

The fourth proportional to 3,814.59, 5,724.05 and 1,762.59 is: 2,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.59 : 5,724.05 = 1,762.59 : x
  2. Step 2: Convert to fraction form
    3,814.59/5,724.05 = 1,762.59/x
  3. Step 3: Cross multiply
    3,814.59x = 5,724.05 × 1,762.59
  4. Step 4: Simplify right side
    3,814.59x = 10,089,175.86
  5. Step 5: Solve for x
    x = 10,089,175.86/3,814.59
  6. Step 6: Final answer
    x = 2,644.89

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