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Finding the Fourth Proportional to 3,808.26, 5,712.39 and 1,211.42

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Solution

The fourth proportional to 3,808.26, 5,712.39 and 1,211.42 is: 1,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.26 : 5,712.39 = 1,211.42 : x
  2. Step 2: Convert to fraction form
    3,808.26/5,712.39 = 1,211.42/x
  3. Step 3: Cross multiply
    3,808.26x = 5,712.39 × 1,211.42
  4. Step 4: Simplify right side
    3,808.26x = 6,920,103.49
  5. Step 5: Solve for x
    x = 6,920,103.49/3,808.26
  6. Step 6: Final answer
    x = 1,817.13

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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.