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Finding the Fourth Proportional to 5,504.96, 8,252.04 and 2,216

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Solution

The fourth proportional to 5,504.96, 8,252.04 and 2,216 is: 3,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.96 : 8,252.04 = 2,216 : x
  2. Step 2: Convert to fraction form
    5,504.96/8,252.04 = 2,216/x
  3. Step 3: Cross multiply
    5,504.96x = 8,252.04 × 2,216
  4. Step 4: Simplify right side
    5,504.96x = 18,286,520.64
  5. Step 5: Solve for x
    x = 18,286,520.64/5,504.96
  6. Step 6: Final answer
    x = 3,321.83

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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.