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Finding the Fourth Proportional to 4,171.88, 6,257.84 and 3,388.16

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Solution

The fourth proportional to 4,171.88, 6,257.84 and 3,388.16 is: 5,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.88 : 6,257.84 = 3,388.16 : x
  2. Step 2: Convert to fraction form
    4,171.88/6,257.84 = 3,388.16/x
  3. Step 3: Cross multiply
    4,171.88x = 6,257.84 × 3,388.16
  4. Step 4: Simplify right side
    4,171.88x = 21,202,563.17
  5. Step 5: Solve for x
    x = 21,202,563.17/4,171.88
  6. Step 6: Final answer
    x = 5,082.26

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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.