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Finding the Fourth Proportional to 3,400, 5,099.76 and 1,668

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Solution

The fourth proportional to 3,400, 5,099.76 and 1,668 is: 2,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 5,099.76 = 1,668 : x
  2. Step 2: Convert to fraction form
    3,400/5,099.76 = 1,668/x
  3. Step 3: Cross multiply
    3,400x = 5,099.76 × 1,668
  4. Step 4: Simplify right side
    3,400x = 8,506,399.68
  5. Step 5: Solve for x
    x = 8,506,399.68/3,400
  6. Step 6: Final answer
    x = 2,501.88

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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.