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Finding the Fourth Proportional to 5,644.67, 8,464.14 and 3,305.37

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Solution

The fourth proportional to 5,644.67, 8,464.14 and 3,305.37 is: 4,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.67 : 8,464.14 = 3,305.37 : x
  2. Step 2: Convert to fraction form
    5,644.67/8,464.14 = 3,305.37/x
  3. Step 3: Cross multiply
    5,644.67x = 8,464.14 × 3,305.37
  4. Step 4: Simplify right side
    5,644.67x = 27,977,114.43
  5. Step 5: Solve for x
    x = 27,977,114.43/5,644.67
  6. Step 6: Final answer
    x = 4,956.38

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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.