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Finding the Fourth Proportional to 5,252.15, 7,872.64 and 2,784.44

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Solution

The fourth proportional to 5,252.15, 7,872.64 and 2,784.44 is: 4,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.15 : 7,872.64 = 2,784.44 : x
  2. Step 2: Convert to fraction form
    5,252.15/7,872.64 = 2,784.44/x
  3. Step 3: Cross multiply
    5,252.15x = 7,872.64 × 2,784.44
  4. Step 4: Simplify right side
    5,252.15x = 21,920,893.72
  5. Step 5: Solve for x
    x = 21,920,893.72/5,252.15
  6. Step 6: Final answer
    x = 4,173.70

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