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Finding the Fourth Proportional to 4,906.05, 6,775.71 and 4,273.65

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Solution

The fourth proportional to 4,906.05, 6,775.71 and 4,273.65 is: 5,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.05 : 6,775.71 = 4,273.65 : x
  2. Step 2: Convert to fraction form
    4,906.05/6,775.71 = 4,273.65/x
  3. Step 3: Cross multiply
    4,906.05x = 6,775.71 × 4,273.65
  4. Step 4: Simplify right side
    4,906.05x = 28,957,013.04
  5. Step 5: Solve for x
    x = 28,957,013.04/4,906.05
  6. Step 6: Final answer
    x = 5,902.31

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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.