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Finding the Fourth Proportional to 5,100.44, 7,640.92 and 3,454.16

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Solution

The fourth proportional to 5,100.44, 7,640.92 and 3,454.16 is: 5,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.44 : 7,640.92 = 3,454.16 : x
  2. Step 2: Convert to fraction form
    5,100.44/7,640.92 = 3,454.16/x
  3. Step 3: Cross multiply
    5,100.44x = 7,640.92 × 3,454.16
  4. Step 4: Simplify right side
    5,100.44x = 26,392,960.23
  5. Step 5: Solve for x
    x = 26,392,960.23/5,100.44
  6. Step 6: Final answer
    x = 5,174.64

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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.