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Finding the Fourth Proportional to 5,273.96, 7,914 and 2,153.48

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Solution

The fourth proportional to 5,273.96, 7,914 and 2,153.48 is: 3,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.96 : 7,914 = 2,153.48 : x
  2. Step 2: Convert to fraction form
    5,273.96/7,914 = 2,153.48/x
  3. Step 3: Cross multiply
    5,273.96x = 7,914 × 2,153.48
  4. Step 4: Simplify right side
    5,273.96x = 17,042,640.72
  5. Step 5: Solve for x
    x = 17,042,640.72/5,273.96
  6. Step 6: Final answer
    x = 3,231.47

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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.