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Finding the Fourth Proportional to 3,762.42, 5,638.49 and 2,199.12

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Solution

The fourth proportional to 3,762.42, 5,638.49 and 2,199.12 is: 3,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.42 : 5,638.49 = 2,199.12 : x
  2. Step 2: Convert to fraction form
    3,762.42/5,638.49 = 2,199.12/x
  3. Step 3: Cross multiply
    3,762.42x = 5,638.49 × 2,199.12
  4. Step 4: Simplify right side
    3,762.42x = 12,399,716.13
  5. Step 5: Solve for x
    x = 12,399,716.13/3,762.42
  6. Step 6: Final answer
    x = 3,295.68

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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.