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Finding the Fourth Proportional to 3,894.10, 5,853.30 and 3,821.20

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Solution

The fourth proportional to 3,894.10, 5,853.30 and 3,821.20 is: 5,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.10 : 5,853.30 = 3,821.20 : x
  2. Step 2: Convert to fraction form
    3,894.10/5,853.30 = 3,821.20/x
  3. Step 3: Cross multiply
    3,894.10x = 5,853.30 × 3,821.20
  4. Step 4: Simplify right side
    3,894.10x = 22,366,629.96
  5. Step 5: Solve for x
    x = 22,366,629.96/3,894.10
  6. Step 6: Final answer
    x = 5,743.72

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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.