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Finding the Fourth Proportional to 3,893.64, 5,841.35 and 1,120.33

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Solution

The fourth proportional to 3,893.64, 5,841.35 and 1,120.33 is: 1,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.64 : 5,841.35 = 1,120.33 : x
  2. Step 2: Convert to fraction form
    3,893.64/5,841.35 = 1,120.33/x
  3. Step 3: Cross multiply
    3,893.64x = 5,841.35 × 1,120.33
  4. Step 4: Simplify right side
    3,893.64x = 6,544,234.04
  5. Step 5: Solve for x
    x = 6,544,234.04/3,893.64
  6. Step 6: Final answer
    x = 1,680.75

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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.