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Finding the Fourth Proportional to 5,146.56, 7,723.08 and 3,202.56

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Solution

The fourth proportional to 5,146.56, 7,723.08 and 3,202.56 is: 4,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.56 : 7,723.08 = 3,202.56 : x
  2. Step 2: Convert to fraction form
    5,146.56/7,723.08 = 3,202.56/x
  3. Step 3: Cross multiply
    5,146.56x = 7,723.08 × 3,202.56
  4. Step 4: Simplify right side
    5,146.56x = 24,733,627.08
  5. Step 5: Solve for x
    x = 24,733,627.08/5,146.56
  6. Step 6: Final answer
    x = 4,805.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.