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Finding the Fourth Proportional to 4,166.80, 6,250.20 and 3,826.60

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Solution

The fourth proportional to 4,166.80, 6,250.20 and 3,826.60 is: 5,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.80 : 6,250.20 = 3,826.60 : x
  2. Step 2: Convert to fraction form
    4,166.80/6,250.20 = 3,826.60/x
  3. Step 3: Cross multiply
    4,166.80x = 6,250.20 × 3,826.60
  4. Step 4: Simplify right side
    4,166.80x = 23,917,015.32
  5. Step 5: Solve for x
    x = 23,917,015.32/4,166.80
  6. Step 6: Final answer
    x = 5,739.90

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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.