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Finding the Fourth Proportional to 3,131.73, 4,697.75 and 2,582.90

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Solution

The fourth proportional to 3,131.73, 4,697.75 and 2,582.90 is: 3,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.73 : 4,697.75 = 2,582.90 : x
  2. Step 2: Convert to fraction form
    3,131.73/4,697.75 = 2,582.90/x
  3. Step 3: Cross multiply
    3,131.73x = 4,697.75 × 2,582.90
  4. Step 4: Simplify right side
    3,131.73x = 12,133,782.07
  5. Step 5: Solve for x
    x = 12,133,782.07/3,131.73
  6. Step 6: Final answer
    x = 3,874.47

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