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Finding the Fourth Proportional to 3,822.90, 5,732.95 and 3,002.77

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Solution

The fourth proportional to 3,822.90, 5,732.95 and 3,002.77 is: 4,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.90 : 5,732.95 = 3,002.77 : x
  2. Step 2: Convert to fraction form
    3,822.90/5,732.95 = 3,002.77/x
  3. Step 3: Cross multiply
    3,822.90x = 5,732.95 × 3,002.77
  4. Step 4: Simplify right side
    3,822.90x = 17,214,730.27
  5. Step 5: Solve for x
    x = 17,214,730.27/3,822.90
  6. Step 6: Final answer
    x = 4,503.06

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