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Finding the Fourth Proportional to 4,137.76, 6,206.82 and 1,364.59

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Solution

The fourth proportional to 4,137.76, 6,206.82 and 1,364.59 is: 2,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.76 : 6,206.82 = 1,364.59 : x
  2. Step 2: Convert to fraction form
    4,137.76/6,206.82 = 1,364.59/x
  3. Step 3: Cross multiply
    4,137.76x = 6,206.82 × 1,364.59
  4. Step 4: Simplify right side
    4,137.76x = 8,469,764.50
  5. Step 5: Solve for x
    x = 8,469,764.50/4,137.76
  6. Step 6: Final answer
    x = 2,046.94

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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.