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Finding the Fourth Proportional to 3,787.67, 5,682.28 and 1,596.40

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Solution

The fourth proportional to 3,787.67, 5,682.28 and 1,596.40 is: 2,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.67 : 5,682.28 = 1,596.40 : x
  2. Step 2: Convert to fraction form
    3,787.67/5,682.28 = 1,596.40/x
  3. Step 3: Cross multiply
    3,787.67x = 5,682.28 × 1,596.40
  4. Step 4: Simplify right side
    3,787.67x = 9,071,191.79
  5. Step 5: Solve for x
    x = 9,071,191.79/3,787.67
  6. Step 6: Final answer
    x = 2,394.93

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