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Finding the Fourth Proportional to 5,096.62, 7,031.68 and 2,971.67

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Solution

The fourth proportional to 5,096.62, 7,031.68 and 2,971.67 is: 4,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.62 : 7,031.68 = 2,971.67 : x
  2. Step 2: Convert to fraction form
    5,096.62/7,031.68 = 2,971.67/x
  3. Step 3: Cross multiply
    5,096.62x = 7,031.68 × 2,971.67
  4. Step 4: Simplify right side
    5,096.62x = 20,895,817.65
  5. Step 5: Solve for x
    x = 20,895,817.65/5,096.62
  6. Step 6: Final answer
    x = 4,099.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.