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Finding the Fourth Proportional to 4,137.50, 6,206.20 and 1,672.30

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Solution

The fourth proportional to 4,137.50, 6,206.20 and 1,672.30 is: 2,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.50 : 6,206.20 = 1,672.30 : x
  2. Step 2: Convert to fraction form
    4,137.50/6,206.20 = 1,672.30/x
  3. Step 3: Cross multiply
    4,137.50x = 6,206.20 × 1,672.30
  4. Step 4: Simplify right side
    4,137.50x = 10,378,628.26
  5. Step 5: Solve for x
    x = 10,378,628.26/4,137.50
  6. Step 6: Final answer
    x = 2,508.43

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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.