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Finding the Fourth Proportional to 3,801, 5,702.46 and 1,065

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Solution

The fourth proportional to 3,801, 5,702.46 and 1,065 is: 1,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 5,702.46 = 1,065 : x
  2. Step 2: Convert to fraction form
    3,801/5,702.46 = 1,065/x
  3. Step 3: Cross multiply
    3,801x = 5,702.46 × 1,065
  4. Step 4: Simplify right side
    3,801x = 6,073,119.90
  5. Step 5: Solve for x
    x = 6,073,119.90/3,801
  6. Step 6: Final answer
    x = 1,597.77

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