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Finding the Fourth Proportional to 4,449.86, 6,675.04 and 3,796.32

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Solution

The fourth proportional to 4,449.86, 6,675.04 and 3,796.32 is: 5,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.86 : 6,675.04 = 3,796.32 : x
  2. Step 2: Convert to fraction form
    4,449.86/6,675.04 = 3,796.32/x
  3. Step 3: Cross multiply
    4,449.86x = 6,675.04 × 3,796.32
  4. Step 4: Simplify right side
    4,449.86x = 25,340,587.85
  5. Step 5: Solve for x
    x = 25,340,587.85/4,449.86
  6. Step 6: Final answer
    x = 5,694.69

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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.