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Finding the Fourth Proportional to 3,636.62, 5,455.42 and 1,297.20

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Solution

The fourth proportional to 3,636.62, 5,455.42 and 1,297.20 is: 1,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.62 : 5,455.42 = 1,297.20 : x
  2. Step 2: Convert to fraction form
    3,636.62/5,455.42 = 1,297.20/x
  3. Step 3: Cross multiply
    3,636.62x = 5,455.42 × 1,297.20
  4. Step 4: Simplify right side
    3,636.62x = 7,076,770.82
  5. Step 5: Solve for x
    x = 7,076,770.82/3,636.62
  6. Step 6: Final answer
    x = 1,945.97

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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.