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Finding the Fourth Proportional to 4,498.20, 6,739.20 and 3,850.20

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Solution

The fourth proportional to 4,498.20, 6,739.20 and 3,850.20 is: 5,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.20 : 6,739.20 = 3,850.20 : x
  2. Step 2: Convert to fraction form
    4,498.20/6,739.20 = 3,850.20/x
  3. Step 3: Cross multiply
    4,498.20x = 6,739.20 × 3,850.20
  4. Step 4: Simplify right side
    4,498.20x = 25,947,267.84
  5. Step 5: Solve for x
    x = 25,947,267.84/4,498.20
  6. Step 6: Final answer
    x = 5,768.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.