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Finding the Fourth Proportional to 3,890.21, 5,834.11 and 1,116.14

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Solution

The fourth proportional to 3,890.21, 5,834.11 and 1,116.14 is: 1,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.21 : 5,834.11 = 1,116.14 : x
  2. Step 2: Convert to fraction form
    3,890.21/5,834.11 = 1,116.14/x
  3. Step 3: Cross multiply
    3,890.21x = 5,834.11 × 1,116.14
  4. Step 4: Simplify right side
    3,890.21x = 6,511,683.54
  5. Step 5: Solve for x
    x = 6,511,683.54/3,890.21
  6. Step 6: Final answer
    x = 1,673.86

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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.