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Finding the Fourth Proportional to 4,138.80, 6,208.38 and 2,059.80

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Solution

The fourth proportional to 4,138.80, 6,208.38 and 2,059.80 is: 3,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.80 : 6,208.38 = 2,059.80 : x
  2. Step 2: Convert to fraction form
    4,138.80/6,208.38 = 2,059.80/x
  3. Step 3: Cross multiply
    4,138.80x = 6,208.38 × 2,059.80
  4. Step 4: Simplify right side
    4,138.80x = 12,788,021.12
  5. Step 5: Solve for x
    x = 12,788,021.12/4,138.80
  6. Step 6: Final answer
    x = 3,089.79

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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.