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Finding the Fourth Proportional to 3,827.10, 5,752.80 and 3,608.40

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Solution

The fourth proportional to 3,827.10, 5,752.80 and 3,608.40 is: 5,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.10 : 5,752.80 = 3,608.40 : x
  2. Step 2: Convert to fraction form
    3,827.10/5,752.80 = 3,608.40/x
  3. Step 3: Cross multiply
    3,827.10x = 5,752.80 × 3,608.40
  4. Step 4: Simplify right side
    3,827.10x = 20,758,403.52
  5. Step 5: Solve for x
    x = 20,758,403.52/3,827.10
  6. Step 6: Final answer
    x = 5,424.06

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