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Finding the Fourth Proportional to 3,817.83, 5,726.70 and 1,967.96

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Solution

The fourth proportional to 3,817.83, 5,726.70 and 1,967.96 is: 2,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.83 : 5,726.70 = 1,967.96 : x
  2. Step 2: Convert to fraction form
    3,817.83/5,726.70 = 1,967.96/x
  3. Step 3: Cross multiply
    3,817.83x = 5,726.70 × 1,967.96
  4. Step 4: Simplify right side
    3,817.83x = 11,269,930.85
  5. Step 5: Solve for x
    x = 11,269,930.85/3,817.83
  6. Step 6: Final answer
    x = 2,951.92

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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.