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Finding the Fourth Proportional to 4,190.78, 5,784.00 and 2,423.42

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Solution

The fourth proportional to 4,190.78, 5,784.00 and 2,423.42 is: 3,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.78 : 5,784.00 = 2,423.42 : x
  2. Step 2: Convert to fraction form
    4,190.78/5,784.00 = 2,423.42/x
  3. Step 3: Cross multiply
    4,190.78x = 5,784.00 × 2,423.42
  4. Step 4: Simplify right side
    4,190.78x = 14,017,044.96
  5. Step 5: Solve for x
    x = 14,017,044.96/4,190.78
  6. Step 6: Final answer
    x = 3,344.73

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