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Finding the Fourth Proportional to 5,100.96, 7,616.91 and 4,049.16

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Solution

The fourth proportional to 5,100.96, 7,616.91 and 4,049.16 is: 6,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.96 : 7,616.91 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    5,100.96/7,616.91 = 4,049.16/x
  3. Step 3: Cross multiply
    5,100.96x = 7,616.91 × 4,049.16
  4. Step 4: Simplify right side
    5,100.96x = 30,842,087.30
  5. Step 5: Solve for x
    x = 30,842,087.30/5,100.96
  6. Step 6: Final answer
    x = 6,046.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.