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Finding the Fourth Proportional to 3,767.92, 5,650.46 and 1,576.80

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Solution

The fourth proportional to 3,767.92, 5,650.46 and 1,576.80 is: 2,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.92 : 5,650.46 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    3,767.92/5,650.46 = 1,576.80/x
  3. Step 3: Cross multiply
    3,767.92x = 5,650.46 × 1,576.80
  4. Step 4: Simplify right side
    3,767.92x = 8,909,645.33
  5. Step 5: Solve for x
    x = 8,909,645.33/3,767.92
  6. Step 6: Final answer
    x = 2,364.61

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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.