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Finding the Fourth Proportional to 3,657.37, 5,486.04 and 1,467.63

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Solution

The fourth proportional to 3,657.37, 5,486.04 and 1,467.63 is: 2,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.37 : 5,486.04 = 1,467.63 : x
  2. Step 2: Convert to fraction form
    3,657.37/5,486.04 = 1,467.63/x
  3. Step 3: Cross multiply
    3,657.37x = 5,486.04 × 1,467.63
  4. Step 4: Simplify right side
    3,657.37x = 8,051,469.55
  5. Step 5: Solve for x
    x = 8,051,469.55/3,657.37
  6. Step 6: Final answer
    x = 2,201.44

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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.