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Finding the Fourth Proportional to 5,644.72, 8,464.23 and 3,305.43

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Solution

The fourth proportional to 5,644.72, 8,464.23 and 3,305.43 is: 4,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.72 : 8,464.23 = 3,305.43 : x
  2. Step 2: Convert to fraction form
    5,644.72/8,464.23 = 3,305.43/x
  3. Step 3: Cross multiply
    5,644.72x = 8,464.23 × 3,305.43
  4. Step 4: Simplify right side
    5,644.72x = 27,977,919.77
  5. Step 5: Solve for x
    x = 27,977,919.77/5,644.72
  6. Step 6: Final answer
    x = 4,956.48

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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.