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Finding the Fourth Proportional to 3,653.72, 5,480.56 and 2,266.16

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Solution

The fourth proportional to 3,653.72, 5,480.56 and 2,266.16 is: 3,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.72 : 5,480.56 = 2,266.16 : x
  2. Step 2: Convert to fraction form
    3,653.72/5,480.56 = 2,266.16/x
  3. Step 3: Cross multiply
    3,653.72x = 5,480.56 × 2,266.16
  4. Step 4: Simplify right side
    3,653.72x = 12,419,825.85
  5. Step 5: Solve for x
    x = 12,419,825.85/3,653.72
  6. Step 6: Final answer
    x = 3,399.23

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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.