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Finding the Fourth Proportional to 3,893.70, 5,838.66 and 1,296.30

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Solution

The fourth proportional to 3,893.70, 5,838.66 and 1,296.30 is: 1,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.70 : 5,838.66 = 1,296.30 : x
  2. Step 2: Convert to fraction form
    3,893.70/5,838.66 = 1,296.30/x
  3. Step 3: Cross multiply
    3,893.70x = 5,838.66 × 1,296.30
  4. Step 4: Simplify right side
    3,893.70x = 7,568,654.96
  5. Step 5: Solve for x
    x = 7,568,654.96/3,893.70
  6. Step 6: Final answer
    x = 1,943.82

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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.