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Finding the Fourth Proportional to 3,744.89, 5,617.84 and 1,279.05

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Solution

The fourth proportional to 3,744.89, 5,617.84 and 1,279.05 is: 1,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.89 : 5,617.84 = 1,279.05 : x
  2. Step 2: Convert to fraction form
    3,744.89/5,617.84 = 1,279.05/x
  3. Step 3: Cross multiply
    3,744.89x = 5,617.84 × 1,279.05
  4. Step 4: Simplify right side
    3,744.89x = 7,185,498.25
  5. Step 5: Solve for x
    x = 7,185,498.25/3,744.89
  6. Step 6: Final answer
    x = 1,918.75

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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.