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Finding the Fourth Proportional to 3,781.68, 5,666.75 and 1,589.21

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Solution

The fourth proportional to 3,781.68, 5,666.75 and 1,589.21 is: 2,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.68 : 5,666.75 = 1,589.21 : x
  2. Step 2: Convert to fraction form
    3,781.68/5,666.75 = 1,589.21/x
  3. Step 3: Cross multiply
    3,781.68x = 5,666.75 × 1,589.21
  4. Step 4: Simplify right side
    3,781.68x = 9,005,619.49
  5. Step 5: Solve for x
    x = 9,005,619.49/3,781.68
  6. Step 6: Final answer
    x = 2,381.38

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