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Finding the Fourth Proportional to 3,873.12, 5,807.70 and 2,023.80

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Solution

The fourth proportional to 3,873.12, 5,807.70 and 2,023.80 is: 3,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.12 : 5,807.70 = 2,023.80 : x
  2. Step 2: Convert to fraction form
    3,873.12/5,807.70 = 2,023.80/x
  3. Step 3: Cross multiply
    3,873.12x = 5,807.70 × 2,023.80
  4. Step 4: Simplify right side
    3,873.12x = 11,753,623.26
  5. Step 5: Solve for x
    x = 11,753,623.26/3,873.12
  6. Step 6: Final answer
    x = 3,034.67

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