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Finding the Fourth Proportional to 4,974.80, 7,450.92 and 4,120.65

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Solution

The fourth proportional to 4,974.80, 7,450.92 and 4,120.65 is: 6,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.80 : 7,450.92 = 4,120.65 : x
  2. Step 2: Convert to fraction form
    4,974.80/7,450.92 = 4,120.65/x
  3. Step 3: Cross multiply
    4,974.80x = 7,450.92 × 4,120.65
  4. Step 4: Simplify right side
    4,974.80x = 30,702,633.50
  5. Step 5: Solve for x
    x = 30,702,633.50/4,974.80
  6. Step 6: Final answer
    x = 6,171.64

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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.