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Finding the Fourth Proportional to 3,777.50, 5,194.45 and 3,279.27

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Solution

The fourth proportional to 3,777.50, 5,194.45 and 3,279.27 is: 4,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.50 : 5,194.45 = 3,279.27 : x
  2. Step 2: Convert to fraction form
    3,777.50/5,194.45 = 3,279.27/x
  3. Step 3: Cross multiply
    3,777.50x = 5,194.45 × 3,279.27
  4. Step 4: Simplify right side
    3,777.50x = 17,034,004.05
  5. Step 5: Solve for x
    x = 17,034,004.05/3,777.50
  6. Step 6: Final answer
    x = 4,509.33

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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.