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Finding the Fourth Proportional to 3,466.65, 5,205.24 and 3,027.63

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Solution

The fourth proportional to 3,466.65, 5,205.24 and 3,027.63 is: 4,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.65 : 5,205.24 = 3,027.63 : x
  2. Step 2: Convert to fraction form
    3,466.65/5,205.24 = 3,027.63/x
  3. Step 3: Cross multiply
    3,466.65x = 5,205.24 × 3,027.63
  4. Step 4: Simplify right side
    3,466.65x = 15,759,540.78
  5. Step 5: Solve for x
    x = 15,759,540.78/3,466.65
  6. Step 6: Final answer
    x = 4,546.04

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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.