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Finding the Fourth Proportional to 5,702.76, 7,872.66 and 3,849.48

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Solution

The fourth proportional to 5,702.76, 7,872.66 and 3,849.48 is: 5,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.76 : 7,872.66 = 3,849.48 : x
  2. Step 2: Convert to fraction form
    5,702.76/7,872.66 = 3,849.48/x
  3. Step 3: Cross multiply
    5,702.76x = 7,872.66 × 3,849.48
  4. Step 4: Simplify right side
    5,702.76x = 30,305,647.22
  5. Step 5: Solve for x
    x = 30,305,647.22/5,702.76
  6. Step 6: Final answer
    x = 5,314.21

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