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Finding the Fourth Proportional to 5,965.35, 8,942.37 and 2,843.70

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Solution

The fourth proportional to 5,965.35, 8,942.37 and 2,843.70 is: 4,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.35 : 8,942.37 = 2,843.70 : x
  2. Step 2: Convert to fraction form
    5,965.35/8,942.37 = 2,843.70/x
  3. Step 3: Cross multiply
    5,965.35x = 8,942.37 × 2,843.70
  4. Step 4: Simplify right side
    5,965.35x = 25,429,417.57
  5. Step 5: Solve for x
    x = 25,429,417.57/5,965.35
  6. Step 6: Final answer
    x = 4,262.85

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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.