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Finding the Fourth Proportional to 4,081.44, 6,122.16 and 2,028

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Solution

The fourth proportional to 4,081.44, 6,122.16 and 2,028 is: 3,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.44 : 6,122.16 = 2,028 : x
  2. Step 2: Convert to fraction form
    4,081.44/6,122.16 = 2,028/x
  3. Step 3: Cross multiply
    4,081.44x = 6,122.16 × 2,028
  4. Step 4: Simplify right side
    4,081.44x = 12,415,740.48
  5. Step 5: Solve for x
    x = 12,415,740.48/4,081.44
  6. Step 6: Final answer
    x = 3,042

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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.