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Finding the Fourth Proportional to 3,245.92, 4,867.52 and 1,396.08

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Solution

The fourth proportional to 3,245.92, 4,867.52 and 1,396.08 is: 2,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.92 : 4,867.52 = 1,396.08 : x
  2. Step 2: Convert to fraction form
    3,245.92/4,867.52 = 1,396.08/x
  3. Step 3: Cross multiply
    3,245.92x = 4,867.52 × 1,396.08
  4. Step 4: Simplify right side
    3,245.92x = 6,795,447.32
  5. Step 5: Solve for x
    x = 6,795,447.32/3,245.92
  6. Step 6: Final answer
    x = 2,093.54

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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.