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Finding the Fourth Proportional to 3,758.24, 5,638.64 and 1,679.68

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Solution

The fourth proportional to 3,758.24, 5,638.64 and 1,679.68 is: 2,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.24 : 5,638.64 = 1,679.68 : x
  2. Step 2: Convert to fraction form
    3,758.24/5,638.64 = 1,679.68/x
  3. Step 3: Cross multiply
    3,758.24x = 5,638.64 × 1,679.68
  4. Step 4: Simplify right side
    3,758.24x = 9,471,102.44
  5. Step 5: Solve for x
    x = 9,471,102.44/3,758.24
  6. Step 6: Final answer
    x = 2,520.09

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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.