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Finding the Fourth Proportional to 5,162.72, 7,734.12 and 3,084.38

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Solution

The fourth proportional to 5,162.72, 7,734.12 and 3,084.38 is: 4,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.72 : 7,734.12 = 3,084.38 : x
  2. Step 2: Convert to fraction form
    5,162.72/7,734.12 = 3,084.38/x
  3. Step 3: Cross multiply
    5,162.72x = 7,734.12 × 3,084.38
  4. Step 4: Simplify right side
    5,162.72x = 23,854,943.81
  5. Step 5: Solve for x
    x = 23,854,943.81/5,162.72
  6. Step 6: Final answer
    x = 4,620.62

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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.