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Finding the Fourth Proportional to 3,778.78, 5,668.20 and 1,181.80

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Solution

The fourth proportional to 3,778.78, 5,668.20 and 1,181.80 is: 1,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.78 : 5,668.20 = 1,181.80 : x
  2. Step 2: Convert to fraction form
    3,778.78/5,668.20 = 1,181.80/x
  3. Step 3: Cross multiply
    3,778.78x = 5,668.20 × 1,181.80
  4. Step 4: Simplify right side
    3,778.78x = 6,698,678.76
  5. Step 5: Solve for x
    x = 6,698,678.76/3,778.78
  6. Step 6: Final answer
    x = 1,772.71

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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.