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Finding the Fourth Proportional to 4,174.56, 5,760.72 and 2,311.44

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Solution

The fourth proportional to 4,174.56, 5,760.72 and 2,311.44 is: 3,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.56 : 5,760.72 = 2,311.44 : x
  2. Step 2: Convert to fraction form
    4,174.56/5,760.72 = 2,311.44/x
  3. Step 3: Cross multiply
    4,174.56x = 5,760.72 × 2,311.44
  4. Step 4: Simplify right side
    4,174.56x = 13,315,558.64
  5. Step 5: Solve for x
    x = 13,315,558.64/4,174.56
  6. Step 6: Final answer
    x = 3,189.69

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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.