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Finding the Fourth Proportional to 3,778.54, 5,668.83 and 2,689.83

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Solution

The fourth proportional to 3,778.54, 5,668.83 and 2,689.83 is: 4,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.54 : 5,668.83 = 2,689.83 : x
  2. Step 2: Convert to fraction form
    3,778.54/5,668.83 = 2,689.83/x
  3. Step 3: Cross multiply
    3,778.54x = 5,668.83 × 2,689.83
  4. Step 4: Simplify right side
    3,778.54x = 15,248,189.00
  5. Step 5: Solve for x
    x = 15,248,189.00/3,778.54
  6. Step 6: Final answer
    x = 4,035.47

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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.