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Finding the Fourth Proportional to 3,647.62, 5,467.65 and 2,003.59

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Solution

The fourth proportional to 3,647.62, 5,467.65 and 2,003.59 is: 3,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.62 : 5,467.65 = 2,003.59 : x
  2. Step 2: Convert to fraction form
    3,647.62/5,467.65 = 2,003.59/x
  3. Step 3: Cross multiply
    3,647.62x = 5,467.65 × 2,003.59
  4. Step 4: Simplify right side
    3,647.62x = 10,954,928.86
  5. Step 5: Solve for x
    x = 10,954,928.86/3,647.62
  6. Step 6: Final answer
    x = 3,003.31

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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.