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Finding the Fourth Proportional to 3,488.09, 4,815.83 and 2,163.74

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Solution

The fourth proportional to 3,488.09, 4,815.83 and 2,163.74 is: 2,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.09 : 4,815.83 = 2,163.74 : x
  2. Step 2: Convert to fraction form
    3,488.09/4,815.83 = 2,163.74/x
  3. Step 3: Cross multiply
    3,488.09x = 4,815.83 × 2,163.74
  4. Step 4: Simplify right side
    3,488.09x = 10,420,185.33
  5. Step 5: Solve for x
    x = 10,420,185.33/3,488.09
  6. Step 6: Final answer
    x = 2,987.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.