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Finding the Fourth Proportional to 3,633.98, 5,447.19 and 1,684.58

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Solution

The fourth proportional to 3,633.98, 5,447.19 and 1,684.58 is: 2,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.98 : 5,447.19 = 1,684.58 : x
  2. Step 2: Convert to fraction form
    3,633.98/5,447.19 = 1,684.58/x
  3. Step 3: Cross multiply
    3,633.98x = 5,447.19 × 1,684.58
  4. Step 4: Simplify right side
    3,633.98x = 9,176,227.33
  5. Step 5: Solve for x
    x = 9,176,227.33/3,633.98
  6. Step 6: Final answer
    x = 2,525.12

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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.