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Finding the Fourth Proportional to 4,338.50, 6,511.16 and 2,230.04

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Solution

The fourth proportional to 4,338.50, 6,511.16 and 2,230.04 is: 3,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.50 : 6,511.16 = 2,230.04 : x
  2. Step 2: Convert to fraction form
    4,338.50/6,511.16 = 2,230.04/x
  3. Step 3: Cross multiply
    4,338.50x = 6,511.16 × 2,230.04
  4. Step 4: Simplify right side
    4,338.50x = 14,520,136.54
  5. Step 5: Solve for x
    x = 14,520,136.54/4,338.50
  6. Step 6: Final answer
    x = 3,346.81

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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.