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Finding the Fourth Proportional to 3,823.90, 5,734.45 and 3,003.77

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Solution

The fourth proportional to 3,823.90, 5,734.45 and 3,003.77 is: 4,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.90 : 5,734.45 = 3,003.77 : x
  2. Step 2: Convert to fraction form
    3,823.90/5,734.45 = 3,003.77/x
  3. Step 3: Cross multiply
    3,823.90x = 5,734.45 × 3,003.77
  4. Step 4: Simplify right side
    3,823.90x = 17,224,968.88
  5. Step 5: Solve for x
    x = 17,224,968.88/3,823.90
  6. Step 6: Final answer
    x = 4,504.56

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