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Finding the Fourth Proportional to 4,231.25, 6,346.88 and 3,974.35

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Solution

The fourth proportional to 4,231.25, 6,346.88 and 3,974.35 is: 5,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.25 : 6,346.88 = 3,974.35 : x
  2. Step 2: Convert to fraction form
    4,231.25/6,346.88 = 3,974.35/x
  3. Step 3: Cross multiply
    4,231.25x = 6,346.88 × 3,974.35
  4. Step 4: Simplify right side
    4,231.25x = 25,224,722.53
  5. Step 5: Solve for x
    x = 25,224,722.53/4,231.25
  6. Step 6: Final answer
    x = 5,961.53

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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.