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Finding the Fourth Proportional to 3,926.65, 5,889.78 and 3,788.23

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Solution

The fourth proportional to 3,926.65, 5,889.78 and 3,788.23 is: 5,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.65 : 5,889.78 = 3,788.23 : x
  2. Step 2: Convert to fraction form
    3,926.65/5,889.78 = 3,788.23/x
  3. Step 3: Cross multiply
    3,926.65x = 5,889.78 × 3,788.23
  4. Step 4: Simplify right side
    3,926.65x = 22,311,841.29
  5. Step 5: Solve for x
    x = 22,311,841.29/3,926.65
  6. Step 6: Final answer
    x = 5,682.16

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