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Finding the Fourth Proportional to 3,777.70, 5,211.69 and 2,727.46

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Solution

The fourth proportional to 3,777.70, 5,211.69 and 2,727.46 is: 3,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.70 : 5,211.69 = 2,727.46 : x
  2. Step 2: Convert to fraction form
    3,777.70/5,211.69 = 2,727.46/x
  3. Step 3: Cross multiply
    3,777.70x = 5,211.69 × 2,727.46
  4. Step 4: Simplify right side
    3,777.70x = 14,214,676.01
  5. Step 5: Solve for x
    x = 14,214,676.01/3,777.70
  6. Step 6: Final answer
    x = 3,762.79

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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.