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Finding the Fourth Proportional to 3,778.75, 5,668.45 and 1,042.75

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Solution

The fourth proportional to 3,778.75, 5,668.45 and 1,042.75 is: 1,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.75 : 5,668.45 = 1,042.75 : x
  2. Step 2: Convert to fraction form
    3,778.75/5,668.45 = 1,042.75/x
  3. Step 3: Cross multiply
    3,778.75x = 5,668.45 × 1,042.75
  4. Step 4: Simplify right side
    3,778.75x = 5,910,771.02
  5. Step 5: Solve for x
    x = 5,910,771.02/3,778.75
  6. Step 6: Final answer
    x = 1,564.21

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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.