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Finding the Fourth Proportional to 3,633.66, 5,451.30 and 1,684.80

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Solution

The fourth proportional to 3,633.66, 5,451.30 and 1,684.80 is: 2,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,451.30 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,451.30 = 1,684.80/x
  3. Step 3: Cross multiply
    3,633.66x = 5,451.30 × 1,684.80
  4. Step 4: Simplify right side
    3,633.66x = 9,184,350.24
  5. Step 5: Solve for x
    x = 9,184,350.24/3,633.66
  6. Step 6: Final answer
    x = 2,527.58

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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.