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Finding the Fourth Proportional to 3,778.80, 5,668.20 and 1,181.76

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Solution

The fourth proportional to 3,778.80, 5,668.20 and 1,181.76 is: 1,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.80 : 5,668.20 = 1,181.76 : x
  2. Step 2: Convert to fraction form
    3,778.80/5,668.20 = 1,181.76/x
  3. Step 3: Cross multiply
    3,778.80x = 5,668.20 × 1,181.76
  4. Step 4: Simplify right side
    3,778.80x = 6,698,452.03
  5. Step 5: Solve for x
    x = 6,698,452.03/3,778.80
  6. Step 6: Final answer
    x = 1,772.64

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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.