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Finding the Fourth Proportional to 4,453.76, 6,687.36 and 3,842.24

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Solution

The fourth proportional to 4,453.76, 6,687.36 and 3,842.24 is: 5,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.76 : 6,687.36 = 3,842.24 : x
  2. Step 2: Convert to fraction form
    4,453.76/6,687.36 = 3,842.24/x
  3. Step 3: Cross multiply
    4,453.76x = 6,687.36 × 3,842.24
  4. Step 4: Simplify right side
    4,453.76x = 25,694,442.09
  5. Step 5: Solve for x
    x = 25,694,442.09/4,453.76
  6. Step 6: Final answer
    x = 5,769.16

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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.