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Finding the Fourth Proportional to 5,189.34, 7,787.25 and 3,781.14

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Solution

The fourth proportional to 5,189.34, 7,787.25 and 3,781.14 is: 5,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.34 : 7,787.25 = 3,781.14 : x
  2. Step 2: Convert to fraction form
    5,189.34/7,787.25 = 3,781.14/x
  3. Step 3: Cross multiply
    5,189.34x = 7,787.25 × 3,781.14
  4. Step 4: Simplify right side
    5,189.34x = 29,444,682.47
  5. Step 5: Solve for x
    x = 29,444,682.47/5,189.34
  6. Step 6: Final answer
    x = 5,674.07

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