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Finding the Fourth Proportional to 5,202.56, 7,803.27 and 1,306.97

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Solution

The fourth proportional to 5,202.56, 7,803.27 and 1,306.97 is: 1,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 7,803.27 = 1,306.97 : x
  2. Step 2: Convert to fraction form
    5,202.56/7,803.27 = 1,306.97/x
  3. Step 3: Cross multiply
    5,202.56x = 7,803.27 × 1,306.97
  4. Step 4: Simplify right side
    5,202.56x = 10,198,630.04
  5. Step 5: Solve for x
    x = 10,198,630.04/5,202.56
  6. Step 6: Final answer
    x = 1,960.31

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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.