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Finding the Fourth Proportional to 5,157.82, 7,121.49 and 3,171.04

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Solution

The fourth proportional to 5,157.82, 7,121.49 and 3,171.04 is: 4,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.82 : 7,121.49 = 3,171.04 : x
  2. Step 2: Convert to fraction form
    5,157.82/7,121.49 = 3,171.04/x
  3. Step 3: Cross multiply
    5,157.82x = 7,121.49 × 3,171.04
  4. Step 4: Simplify right side
    5,157.82x = 22,582,529.65
  5. Step 5: Solve for x
    x = 22,582,529.65/5,157.82
  6. Step 6: Final answer
    x = 4,378.31

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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.