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Finding the Fourth Proportional to 3,786.72, 5,681.76 and 1,596.96

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Solution

The fourth proportional to 3,786.72, 5,681.76 and 1,596.96 is: 2,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.72 : 5,681.76 = 1,596.96 : x
  2. Step 2: Convert to fraction form
    3,786.72/5,681.76 = 1,596.96/x
  3. Step 3: Cross multiply
    3,786.72x = 5,681.76 × 1,596.96
  4. Step 4: Simplify right side
    3,786.72x = 9,073,543.45
  5. Step 5: Solve for x
    x = 9,073,543.45/3,786.72
  6. Step 6: Final answer
    x = 2,396.15

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