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Finding the Fourth Proportional to 4,906.55, 6,771.00 and 2,782.50

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Solution

The fourth proportional to 4,906.55, 6,771.00 and 2,782.50 is: 3,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.55 : 6,771.00 = 2,782.50 : x
  2. Step 2: Convert to fraction form
    4,906.55/6,771.00 = 2,782.50/x
  3. Step 3: Cross multiply
    4,906.55x = 6,771.00 × 2,782.50
  4. Step 4: Simplify right side
    4,906.55x = 18,840,292.54
  5. Step 5: Solve for x
    x = 18,840,292.54/4,906.55
  6. Step 6: Final answer
    x = 3,839.82

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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.