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Finding the Fourth Proportional to 3,704.46, 5,556.75 and 1,511.65

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Solution

The fourth proportional to 3,704.46, 5,556.75 and 1,511.65 is: 2,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.46 : 5,556.75 = 1,511.65 : x
  2. Step 2: Convert to fraction form
    3,704.46/5,556.75 = 1,511.65/x
  3. Step 3: Cross multiply
    3,704.46x = 5,556.75 × 1,511.65
  4. Step 4: Simplify right side
    3,704.46x = 8,399,861.14
  5. Step 5: Solve for x
    x = 8,399,861.14/3,704.46
  6. Step 6: Final answer
    x = 2,267.50

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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.