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Finding the Fourth Proportional to 3,682.71, 5,524.98 and 1,344

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Solution

The fourth proportional to 3,682.71, 5,524.98 and 1,344 is: 2,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.71 : 5,524.98 = 1,344 : x
  2. Step 2: Convert to fraction form
    3,682.71/5,524.98 = 1,344/x
  3. Step 3: Cross multiply
    3,682.71x = 5,524.98 × 1,344
  4. Step 4: Simplify right side
    3,682.71x = 7,425,573.12
  5. Step 5: Solve for x
    x = 7,425,573.12/3,682.71
  6. Step 6: Final answer
    x = 2,016.33

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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.