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Finding the Fourth Proportional to 4,124, 6,180.37 and 1,901.54

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Solution

The fourth proportional to 4,124, 6,180.37 and 1,901.54 is: 2,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124 : 6,180.37 = 1,901.54 : x
  2. Step 2: Convert to fraction form
    4,124/6,180.37 = 1,901.54/x
  3. Step 3: Cross multiply
    4,124x = 6,180.37 × 1,901.54
  4. Step 4: Simplify right side
    4,124x = 11,752,220.77
  5. Step 5: Solve for x
    x = 11,752,220.77/4,124
  6. Step 6: Final answer
    x = 2,849.71

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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.