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Finding the Fourth Proportional to 3,745.64, 5,618.97 and 1,279.79

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Solution

The fourth proportional to 3,745.64, 5,618.97 and 1,279.79 is: 1,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.64 : 5,618.97 = 1,279.79 : x
  2. Step 2: Convert to fraction form
    3,745.64/5,618.97 = 1,279.79/x
  3. Step 3: Cross multiply
    3,745.64x = 5,618.97 × 1,279.79
  4. Step 4: Simplify right side
    3,745.64x = 7,191,101.62
  5. Step 5: Solve for x
    x = 7,191,101.62/3,745.64
  6. Step 6: Final answer
    x = 1,919.86

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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.