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Finding the Fourth Proportional to 5,493.96, 8,239.08 and 3,516.72

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Solution

The fourth proportional to 5,493.96, 8,239.08 and 3,516.72 is: 5,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.96 : 8,239.08 = 3,516.72 : x
  2. Step 2: Convert to fraction form
    5,493.96/8,239.08 = 3,516.72/x
  3. Step 3: Cross multiply
    5,493.96x = 8,239.08 × 3,516.72
  4. Step 4: Simplify right side
    5,493.96x = 28,974,537.42
  5. Step 5: Solve for x
    x = 28,974,537.42/5,493.96
  6. Step 6: Final answer
    x = 5,273.89

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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.