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Finding the Fourth Proportional to 4,153.64, 5,730.36 and 3,822.08

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Solution

The fourth proportional to 4,153.64, 5,730.36 and 3,822.08 is: 5,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.64 : 5,730.36 = 3,822.08 : x
  2. Step 2: Convert to fraction form
    4,153.64/5,730.36 = 3,822.08/x
  3. Step 3: Cross multiply
    4,153.64x = 5,730.36 × 3,822.08
  4. Step 4: Simplify right side
    4,153.64x = 21,901,894.35
  5. Step 5: Solve for x
    x = 21,901,894.35/4,153.64
  6. Step 6: Final answer
    x = 5,272.94

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