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Finding the Fourth Proportional to 3,027.42, 4,541.94 and 2,738.22

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Solution

The fourth proportional to 3,027.42, 4,541.94 and 2,738.22 is: 4,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.42 : 4,541.94 = 2,738.22 : x
  2. Step 2: Convert to fraction form
    3,027.42/4,541.94 = 2,738.22/x
  3. Step 3: Cross multiply
    3,027.42x = 4,541.94 × 2,738.22
  4. Step 4: Simplify right side
    3,027.42x = 12,436,830.95
  5. Step 5: Solve for x
    x = 12,436,830.95/3,027.42
  6. Step 6: Final answer
    x = 4,108.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.