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Finding the Fourth Proportional to 3,780.06, 5,665.20 and 2,023.20

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Solution

The fourth proportional to 3,780.06, 5,665.20 and 2,023.20 is: 3,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.06 : 5,665.20 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    3,780.06/5,665.20 = 2,023.20/x
  3. Step 3: Cross multiply
    3,780.06x = 5,665.20 × 2,023.20
  4. Step 4: Simplify right side
    3,780.06x = 11,461,832.64
  5. Step 5: Solve for x
    x = 11,461,832.64/3,780.06
  6. Step 6: Final answer
    x = 3,032.18

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