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Finding the Fourth Proportional to 3,823.04, 5,740.32 and 3,339.20

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Solution

The fourth proportional to 3,823.04, 5,740.32 and 3,339.20 is: 5,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.04 : 5,740.32 = 3,339.20 : x
  2. Step 2: Convert to fraction form
    3,823.04/5,740.32 = 3,339.20/x
  3. Step 3: Cross multiply
    3,823.04x = 5,740.32 × 3,339.20
  4. Step 4: Simplify right side
    3,823.04x = 19,168,076.54
  5. Step 5: Solve for x
    x = 19,168,076.54/3,823.04
  6. Step 6: Final answer
    x = 5,013.83

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