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Finding the Fourth Proportional to 4,906.91, 6,771.39 and 2,782.63

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Solution

The fourth proportional to 4,906.91, 6,771.39 and 2,782.63 is: 3,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.91 : 6,771.39 = 2,782.63 : x
  2. Step 2: Convert to fraction form
    4,906.91/6,771.39 = 2,782.63/x
  3. Step 3: Cross multiply
    4,906.91x = 6,771.39 × 2,782.63
  4. Step 4: Simplify right side
    4,906.91x = 18,842,272.96
  5. Step 5: Solve for x
    x = 18,842,272.96/4,906.91
  6. Step 6: Final answer
    x = 3,839.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.