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Finding the Fourth Proportional to 3,893.72, 5,841.44 and 1,120.18

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Solution

The fourth proportional to 3,893.72, 5,841.44 and 1,120.18 is: 1,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.72 : 5,841.44 = 1,120.18 : x
  2. Step 2: Convert to fraction form
    3,893.72/5,841.44 = 1,120.18/x
  3. Step 3: Cross multiply
    3,893.72x = 5,841.44 × 1,120.18
  4. Step 4: Simplify right side
    3,893.72x = 6,543,464.26
  5. Step 5: Solve for x
    x = 6,543,464.26/3,893.72
  6. Step 6: Final answer
    x = 1,680.52

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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.