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Finding the Fourth Proportional to 3,605.63, 5,404.23 and 1,629.09

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Solution

The fourth proportional to 3,605.63, 5,404.23 and 1,629.09 is: 2,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.63 : 5,404.23 = 1,629.09 : x
  2. Step 2: Convert to fraction form
    3,605.63/5,404.23 = 1,629.09/x
  3. Step 3: Cross multiply
    3,605.63x = 5,404.23 × 1,629.09
  4. Step 4: Simplify right side
    3,605.63x = 8,803,977.05
  5. Step 5: Solve for x
    x = 8,803,977.05/3,605.63
  6. Step 6: Final answer
    x = 2,441.73

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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.