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Finding the Fourth Proportional to 3,787.70, 5,682.32 and 1,596.43

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Solution

The fourth proportional to 3,787.70, 5,682.32 and 1,596.43 is: 2,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.70 : 5,682.32 = 1,596.43 : x
  2. Step 2: Convert to fraction form
    3,787.70/5,682.32 = 1,596.43/x
  3. Step 3: Cross multiply
    3,787.70x = 5,682.32 × 1,596.43
  4. Step 4: Simplify right side
    3,787.70x = 9,071,415.90
  5. Step 5: Solve for x
    x = 9,071,415.90/3,787.70
  6. Step 6: Final answer
    x = 2,394.97

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