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Finding the Fourth Proportional to 3,758.16, 5,638.44 and 1,679.60

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Solution

The fourth proportional to 3,758.16, 5,638.44 and 1,679.60 is: 2,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.16 : 5,638.44 = 1,679.60 : x
  2. Step 2: Convert to fraction form
    3,758.16/5,638.44 = 1,679.60/x
  3. Step 3: Cross multiply
    3,758.16x = 5,638.44 × 1,679.60
  4. Step 4: Simplify right side
    3,758.16x = 9,470,323.82
  5. Step 5: Solve for x
    x = 9,470,323.82/3,758.16
  6. Step 6: Final answer
    x = 2,519.94

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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.