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Finding the Fourth Proportional to 3,757.60, 5,641.80 and 2,936.80

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Solution

The fourth proportional to 3,757.60, 5,641.80 and 2,936.80 is: 4,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.60 : 5,641.80 = 2,936.80 : x
  2. Step 2: Convert to fraction form
    3,757.60/5,641.80 = 2,936.80/x
  3. Step 3: Cross multiply
    3,757.60x = 5,641.80 × 2,936.80
  4. Step 4: Simplify right side
    3,757.60x = 16,568,838.24
  5. Step 5: Solve for x
    x = 16,568,838.24/3,757.60
  6. Step 6: Final answer
    x = 4,409.42

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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.