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Finding the Fourth Proportional to 3,977.05, 5,488.05 and 3,033.45

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Solution

The fourth proportional to 3,977.05, 5,488.05 and 3,033.45 is: 4,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.05 : 5,488.05 = 3,033.45 : x
  2. Step 2: Convert to fraction form
    3,977.05/5,488.05 = 3,033.45/x
  3. Step 3: Cross multiply
    3,977.05x = 5,488.05 × 3,033.45
  4. Step 4: Simplify right side
    3,977.05x = 16,647,736.65
  5. Step 5: Solve for x
    x = 16,647,736.65/3,977.05
  6. Step 6: Final answer
    x = 4,185.95

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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.