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Finding the Fourth Proportional to 3,959.88, 5,941.87 and 1,740.27

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Solution

The fourth proportional to 3,959.88, 5,941.87 and 1,740.27 is: 2,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.88 : 5,941.87 = 1,740.27 : x
  2. Step 2: Convert to fraction form
    3,959.88/5,941.87 = 1,740.27/x
  3. Step 3: Cross multiply
    3,959.88x = 5,941.87 × 1,740.27
  4. Step 4: Simplify right side
    3,959.88x = 10,340,453.75
  5. Step 5: Solve for x
    x = 10,340,453.75/3,959.88
  6. Step 6: Final answer
    x = 2,611.30

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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.