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Finding the Fourth Proportional to 4,171.44, 5,744.90 and 4,080.72

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Solution

The fourth proportional to 4,171.44, 5,744.90 and 4,080.72 is: 5,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.44 : 5,744.90 = 4,080.72 : x
  2. Step 2: Convert to fraction form
    4,171.44/5,744.90 = 4,080.72/x
  3. Step 3: Cross multiply
    4,171.44x = 5,744.90 × 4,080.72
  4. Step 4: Simplify right side
    4,171.44x = 23,443,328.33
  5. Step 5: Solve for x
    x = 23,443,328.33/4,171.44
  6. Step 6: Final answer
    x = 5,619.96

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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.