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Finding the Fourth Proportional to 4,449.48, 6,674.20 and 1,162.56

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Solution

The fourth proportional to 4,449.48, 6,674.20 and 1,162.56 is: 1,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.48 : 6,674.20 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    4,449.48/6,674.20 = 1,162.56/x
  3. Step 3: Cross multiply
    4,449.48x = 6,674.20 × 1,162.56
  4. Step 4: Simplify right side
    4,449.48x = 7,759,157.95
  5. Step 5: Solve for x
    x = 7,759,157.95/4,449.48
  6. Step 6: Final answer
    x = 1,743.83

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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.