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Finding the Fourth Proportional to 3,765.41, 5,637.68 and 2,450.68

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Solution

The fourth proportional to 3,765.41, 5,637.68 and 2,450.68 is: 3,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.41 : 5,637.68 = 2,450.68 : x
  2. Step 2: Convert to fraction form
    3,765.41/5,637.68 = 2,450.68/x
  3. Step 3: Cross multiply
    3,765.41x = 5,637.68 × 2,450.68
  4. Step 4: Simplify right side
    3,765.41x = 13,816,149.62
  5. Step 5: Solve for x
    x = 13,816,149.62/3,765.41
  6. Step 6: Final answer
    x = 3,669.23

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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.