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Finding the Fourth Proportional to 3,893.69, 5,841.41 and 2,045.67

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Solution

The fourth proportional to 3,893.69, 5,841.41 and 2,045.67 is: 3,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.69 : 5,841.41 = 2,045.67 : x
  2. Step 2: Convert to fraction form
    3,893.69/5,841.41 = 2,045.67/x
  3. Step 3: Cross multiply
    3,893.69x = 5,841.41 × 2,045.67
  4. Step 4: Simplify right side
    3,893.69x = 11,949,586.97
  5. Step 5: Solve for x
    x = 11,949,586.97/3,893.69
  6. Step 6: Final answer
    x = 3,068.97

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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.