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Finding the Fourth Proportional to 4,967.50, 7,451.23 and 3,872.67

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Solution

The fourth proportional to 4,967.50, 7,451.23 and 3,872.67 is: 5,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.50 : 7,451.23 = 3,872.67 : x
  2. Step 2: Convert to fraction form
    4,967.50/7,451.23 = 3,872.67/x
  3. Step 3: Cross multiply
    4,967.50x = 7,451.23 × 3,872.67
  4. Step 4: Simplify right side
    4,967.50x = 28,856,154.88
  5. Step 5: Solve for x
    x = 28,856,154.88/4,967.50
  6. Step 6: Final answer
    x = 5,808.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.