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Finding the Fourth Proportional to 3,122.57, 4,661.07 and 2,728.46

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Solution

The fourth proportional to 3,122.57, 4,661.07 and 2,728.46 is: 4,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.57 : 4,661.07 = 2,728.46 : x
  2. Step 2: Convert to fraction form
    3,122.57/4,661.07 = 2,728.46/x
  3. Step 3: Cross multiply
    3,122.57x = 4,661.07 × 2,728.46
  4. Step 4: Simplify right side
    3,122.57x = 12,717,543.05
  5. Step 5: Solve for x
    x = 12,717,543.05/3,122.57
  6. Step 6: Final answer
    x = 4,072.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.