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Finding the Fourth Proportional to 4,196.69, 6,294.07 and 1,855.43

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Solution

The fourth proportional to 4,196.69, 6,294.07 and 1,855.43 is: 2,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.69 : 6,294.07 = 1,855.43 : x
  2. Step 2: Convert to fraction form
    4,196.69/6,294.07 = 1,855.43/x
  3. Step 3: Cross multiply
    4,196.69x = 6,294.07 × 1,855.43
  4. Step 4: Simplify right side
    4,196.69x = 11,678,170.19
  5. Step 5: Solve for x
    x = 11,678,170.19/4,196.69
  6. Step 6: Final answer
    x = 2,782.71

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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.