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Finding the Fourth Proportional to 5,410.85, 7,466.94 and 3,020.69

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Solution

The fourth proportional to 5,410.85, 7,466.94 and 3,020.69 is: 4,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.85 : 7,466.94 = 3,020.69 : x
  2. Step 2: Convert to fraction form
    5,410.85/7,466.94 = 3,020.69/x
  3. Step 3: Cross multiply
    5,410.85x = 7,466.94 × 3,020.69
  4. Step 4: Simplify right side
    5,410.85x = 22,555,273.65
  5. Step 5: Solve for x
    x = 22,555,273.65/5,410.85
  6. Step 6: Final answer
    x = 4,168.53

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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.