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Finding the Fourth Proportional to 3,497.44, 5,253.36 and 3,380.80

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Solution

The fourth proportional to 3,497.44, 5,253.36 and 3,380.80 is: 5,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.44 : 5,253.36 = 3,380.80 : x
  2. Step 2: Convert to fraction form
    3,497.44/5,253.36 = 3,380.80/x
  3. Step 3: Cross multiply
    3,497.44x = 5,253.36 × 3,380.80
  4. Step 4: Simplify right side
    3,497.44x = 17,760,559.49
  5. Step 5: Solve for x
    x = 17,760,559.49/3,497.44
  6. Step 6: Final answer
    x = 5,078.16

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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.