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Finding the Fourth Proportional to 3,633.72, 5,453.48 and 1,444

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Solution

The fourth proportional to 3,633.72, 5,453.48 and 1,444 is: 2,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.72 : 5,453.48 = 1,444 : x
  2. Step 2: Convert to fraction form
    3,633.72/5,453.48 = 1,444/x
  3. Step 3: Cross multiply
    3,633.72x = 5,453.48 × 1,444
  4. Step 4: Simplify right side
    3,633.72x = 7,874,825.12
  5. Step 5: Solve for x
    x = 7,874,825.12/3,633.72
  6. Step 6: Final answer
    x = 2,167.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.