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Finding the Fourth Proportional to 3,744.99, 5,617.73 and 2,202.75

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Solution

The fourth proportional to 3,744.99, 5,617.73 and 2,202.75 is: 3,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.99 : 5,617.73 = 2,202.75 : x
  2. Step 2: Convert to fraction form
    3,744.99/5,617.73 = 2,202.75/x
  3. Step 3: Cross multiply
    3,744.99x = 5,617.73 × 2,202.75
  4. Step 4: Simplify right side
    3,744.99x = 12,374,454.76
  5. Step 5: Solve for x
    x = 12,374,454.76/3,744.99
  6. Step 6: Final answer
    x = 3,304.27

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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.