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Finding the Fourth Proportional to 3,865.12, 5,796.24 and 1,673.44

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Solution

The fourth proportional to 3,865.12, 5,796.24 and 1,673.44 is: 2,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.12 : 5,796.24 = 1,673.44 : x
  2. Step 2: Convert to fraction form
    3,865.12/5,796.24 = 1,673.44/x
  3. Step 3: Cross multiply
    3,865.12x = 5,796.24 × 1,673.44
  4. Step 4: Simplify right side
    3,865.12x = 9,699,659.87
  5. Step 5: Solve for x
    x = 9,699,659.87/3,865.12
  6. Step 6: Final answer
    x = 2,509.54

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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.