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Finding the Fourth Proportional to 3,105.79, 4,658.19 and 2,582.05

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Solution

The fourth proportional to 3,105.79, 4,658.19 and 2,582.05 is: 3,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.79 : 4,658.19 = 2,582.05 : x
  2. Step 2: Convert to fraction form
    3,105.79/4,658.19 = 2,582.05/x
  3. Step 3: Cross multiply
    3,105.79x = 4,658.19 × 2,582.05
  4. Step 4: Simplify right side
    3,105.79x = 12,027,679.49
  5. Step 5: Solve for x
    x = 12,027,679.49/3,105.79
  6. Step 6: Final answer
    x = 3,872.66

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