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Finding the Fourth Proportional to 3,778.36, 5,668.16 and 1,180.69

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Solution

The fourth proportional to 3,778.36, 5,668.16 and 1,180.69 is: 1,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.36 : 5,668.16 = 1,180.69 : x
  2. Step 2: Convert to fraction form
    3,778.36/5,668.16 = 1,180.69/x
  3. Step 3: Cross multiply
    3,778.36x = 5,668.16 × 1,180.69
  4. Step 4: Simplify right side
    3,778.36x = 6,692,319.76
  5. Step 5: Solve for x
    x = 6,692,319.76/3,778.36
  6. Step 6: Final answer
    x = 1,771.22

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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.