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Finding the Fourth Proportional to 3,778.78, 5,657.67 and 2,851.54

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Solution

The fourth proportional to 3,778.78, 5,657.67 and 2,851.54 is: 4,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.78 : 5,657.67 = 2,851.54 : x
  2. Step 2: Convert to fraction form
    3,778.78/5,657.67 = 2,851.54/x
  3. Step 3: Cross multiply
    3,778.78x = 5,657.67 × 2,851.54
  4. Step 4: Simplify right side
    3,778.78x = 16,133,072.31
  5. Step 5: Solve for x
    x = 16,133,072.31/3,778.78
  6. Step 6: Final answer
    x = 4,269.39

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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.