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Finding the Fourth Proportional to 3,662.01, 5,493.42 and 2,563.65

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Solution

The fourth proportional to 3,662.01, 5,493.42 and 2,563.65 is: 3,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.01 : 5,493.42 = 2,563.65 : x
  2. Step 2: Convert to fraction form
    3,662.01/5,493.42 = 2,563.65/x
  3. Step 3: Cross multiply
    3,662.01x = 5,493.42 × 2,563.65
  4. Step 4: Simplify right side
    3,662.01x = 14,083,206.18
  5. Step 5: Solve for x
    x = 14,083,206.18/3,662.01
  6. Step 6: Final answer
    x = 3,845.76

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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.