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Finding the Fourth Proportional to 5,172.92, 7,138.09 and 3,019.54

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Solution

The fourth proportional to 5,172.92, 7,138.09 and 3,019.54 is: 4,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.92 : 7,138.09 = 3,019.54 : x
  2. Step 2: Convert to fraction form
    5,172.92/7,138.09 = 3,019.54/x
  3. Step 3: Cross multiply
    5,172.92x = 7,138.09 × 3,019.54
  4. Step 4: Simplify right side
    5,172.92x = 21,553,748.28
  5. Step 5: Solve for x
    x = 21,553,748.28/5,172.92
  6. Step 6: Final answer
    x = 4,166.65

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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.