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Finding the Fourth Proportional to 4,112, 5,674.65 and 2,249

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Solution

The fourth proportional to 4,112, 5,674.65 and 2,249 is: 3,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 5,674.65 = 2,249 : x
  2. Step 2: Convert to fraction form
    4,112/5,674.65 = 2,249/x
  3. Step 3: Cross multiply
    4,112x = 5,674.65 × 2,249
  4. Step 4: Simplify right side
    4,112x = 12,762,287.85
  5. Step 5: Solve for x
    x = 12,762,287.85/4,112
  6. Step 6: Final answer
    x = 3,103.67

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Why These Related Problems?

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