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Finding the Fourth Proportional to 5,213.52, 7,801.80 and 3,823.44

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Solution

The fourth proportional to 5,213.52, 7,801.80 and 3,823.44 is: 5,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.52 : 7,801.80 = 3,823.44 : x
  2. Step 2: Convert to fraction form
    5,213.52/7,801.80 = 3,823.44/x
  3. Step 3: Cross multiply
    5,213.52x = 7,801.80 × 3,823.44
  4. Step 4: Simplify right side
    5,213.52x = 29,829,714.19
  5. Step 5: Solve for x
    x = 29,829,714.19/5,213.52
  6. Step 6: Final answer
    x = 5,721.61

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