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Finding the Fourth Proportional to 3,785.67, 5,668.88 and 3,167.82

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Solution

The fourth proportional to 3,785.67, 5,668.88 and 3,167.82 is: 4,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.67 : 5,668.88 = 3,167.82 : x
  2. Step 2: Convert to fraction form
    3,785.67/5,668.88 = 3,167.82/x
  3. Step 3: Cross multiply
    3,785.67x = 5,668.88 × 3,167.82
  4. Step 4: Simplify right side
    3,785.67x = 17,957,975.60
  5. Step 5: Solve for x
    x = 17,957,975.60/3,785.67
  6. Step 6: Final answer
    x = 4,743.67

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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.