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Finding the Fourth Proportional to 3,940.26, 5,914.59 and 1,750.80

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Solution

The fourth proportional to 3,940.26, 5,914.59 and 1,750.80 is: 2,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.26 : 5,914.59 = 1,750.80 : x
  2. Step 2: Convert to fraction form
    3,940.26/5,914.59 = 1,750.80/x
  3. Step 3: Cross multiply
    3,940.26x = 5,914.59 × 1,750.80
  4. Step 4: Simplify right side
    3,940.26x = 10,355,264.17
  5. Step 5: Solve for x
    x = 10,355,264.17/3,940.26
  6. Step 6: Final answer
    x = 2,628.07

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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.