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Finding the Fourth Proportional to 3,421.62, 5,133.24 and 1,778.94

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Solution

The fourth proportional to 3,421.62, 5,133.24 and 1,778.94 is: 2,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.62 : 5,133.24 = 1,778.94 : x
  2. Step 2: Convert to fraction form
    3,421.62/5,133.24 = 1,778.94/x
  3. Step 3: Cross multiply
    3,421.62x = 5,133.24 × 1,778.94
  4. Step 4: Simplify right side
    3,421.62x = 9,131,725.97
  5. Step 5: Solve for x
    x = 9,131,725.97/3,421.62
  6. Step 6: Final answer
    x = 2,668.83

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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.