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Finding the Fourth Proportional to 3,679.97, 5,516.48 and 2,199.60

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Solution

The fourth proportional to 3,679.97, 5,516.48 and 2,199.60 is: 3,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.97 : 5,516.48 = 2,199.60 : x
  2. Step 2: Convert to fraction form
    3,679.97/5,516.48 = 2,199.60/x
  3. Step 3: Cross multiply
    3,679.97x = 5,516.48 × 2,199.60
  4. Step 4: Simplify right side
    3,679.97x = 12,134,038.41
  5. Step 5: Solve for x
    x = 12,134,038.41/3,679.97
  6. Step 6: Final answer
    x = 3,297.32

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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.