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Finding the Fourth Proportional to 3,633.62, 5,451.30 and 1,168.67

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Solution

The fourth proportional to 3,633.62, 5,451.30 and 1,168.67 is: 1,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.62 : 5,451.30 = 1,168.67 : x
  2. Step 2: Convert to fraction form
    3,633.62/5,451.30 = 1,168.67/x
  3. Step 3: Cross multiply
    3,633.62x = 5,451.30 × 1,168.67
  4. Step 4: Simplify right side
    3,633.62x = 6,370,743.51
  5. Step 5: Solve for x
    x = 6,370,743.51/3,633.62
  6. Step 6: Final answer
    x = 1,753.28

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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.