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Finding the Fourth Proportional to 3,633.54, 5,449.50 and 1,684.68

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Solution

The fourth proportional to 3,633.54, 5,449.50 and 1,684.68 is: 2,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.54 : 5,449.50 = 1,684.68 : x
  2. Step 2: Convert to fraction form
    3,633.54/5,449.50 = 1,684.68/x
  3. Step 3: Cross multiply
    3,633.54x = 5,449.50 × 1,684.68
  4. Step 4: Simplify right side
    3,633.54x = 9,180,663.66
  5. Step 5: Solve for x
    x = 9,180,663.66/3,633.54
  6. Step 6: Final answer
    x = 2,526.64

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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.