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Finding the Fourth Proportional to 3,777.44, 5,211.74 and 2,285.72

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Solution

The fourth proportional to 3,777.44, 5,211.74 and 2,285.72 is: 3,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.44 : 5,211.74 = 2,285.72 : x
  2. Step 2: Convert to fraction form
    3,777.44/5,211.74 = 2,285.72/x
  3. Step 3: Cross multiply
    3,777.44x = 5,211.74 × 2,285.72
  4. Step 4: Simplify right side
    3,777.44x = 11,912,577.55
  5. Step 5: Solve for x
    x = 11,912,577.55/3,777.44
  6. Step 6: Final answer
    x = 3,153.62

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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.