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Finding the Fourth Proportional to 5,270.34, 7,273.02 and 2,912.46

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Solution

The fourth proportional to 5,270.34, 7,273.02 and 2,912.46 is: 4,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.34 : 7,273.02 = 2,912.46 : x
  2. Step 2: Convert to fraction form
    5,270.34/7,273.02 = 2,912.46/x
  3. Step 3: Cross multiply
    5,270.34x = 7,273.02 × 2,912.46
  4. Step 4: Simplify right side
    5,270.34x = 21,182,379.83
  5. Step 5: Solve for x
    x = 21,182,379.83/5,270.34
  6. Step 6: Final answer
    x = 4,019.17

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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.