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Finding the Fourth Proportional to 4,196.67, 6,295.36 and 1,275

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Solution

The fourth proportional to 4,196.67, 6,295.36 and 1,275 is: 1,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.67 : 6,295.36 = 1,275 : x
  2. Step 2: Convert to fraction form
    4,196.67/6,295.36 = 1,275/x
  3. Step 3: Cross multiply
    4,196.67x = 6,295.36 × 1,275
  4. Step 4: Simplify right side
    4,196.67x = 8,026,584
  5. Step 5: Solve for x
    x = 8,026,584/4,196.67
  6. Step 6: Final answer
    x = 1,912.61

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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.