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Finding the Fourth Proportional to 3,783.53, 5,663.17 and 2,024.16

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Solution

The fourth proportional to 3,783.53, 5,663.17 and 2,024.16 is: 3,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.53 : 5,663.17 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    3,783.53/5,663.17 = 2,024.16/x
  3. Step 3: Cross multiply
    3,783.53x = 5,663.17 × 2,024.16
  4. Step 4: Simplify right side
    3,783.53x = 11,463,132.09
  5. Step 5: Solve for x
    x = 11,463,132.09/3,783.53
  6. Step 6: Final answer
    x = 3,029.75

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