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Finding the Fourth Proportional to 3,420.33, 5,121.74 and 2,728

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Solution

The fourth proportional to 3,420.33, 5,121.74 and 2,728 is: 4,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.33 : 5,121.74 = 2,728 : x
  2. Step 2: Convert to fraction form
    3,420.33/5,121.74 = 2,728/x
  3. Step 3: Cross multiply
    3,420.33x = 5,121.74 × 2,728
  4. Step 4: Simplify right side
    3,420.33x = 13,972,106.72
  5. Step 5: Solve for x
    x = 13,972,106.72/3,420.33
  6. Step 6: Final answer
    x = 4,085.02

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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.