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Finding the Fourth Proportional to 3,827.84, 5,741.78 and 1,519.34

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Solution

The fourth proportional to 3,827.84, 5,741.78 and 1,519.34 is: 2,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.84 : 5,741.78 = 1,519.34 : x
  2. Step 2: Convert to fraction form
    3,827.84/5,741.78 = 1,519.34/x
  3. Step 3: Cross multiply
    3,827.84x = 5,741.78 × 1,519.34
  4. Step 4: Simplify right side
    3,827.84x = 8,723,679.72
  5. Step 5: Solve for x
    x = 8,723,679.72/3,827.84
  6. Step 6: Final answer
    x = 2,279.01

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