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Finding the Fourth Proportional to 3,633.92, 5,450.57 and 1,168.08

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Solution

The fourth proportional to 3,633.92, 5,450.57 and 1,168.08 is: 1,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,450.57 = 1,168.08 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,450.57 = 1,168.08/x
  3. Step 3: Cross multiply
    3,633.92x = 5,450.57 × 1,168.08
  4. Step 4: Simplify right side
    3,633.92x = 6,366,701.81
  5. Step 5: Solve for x
    x = 6,366,701.81/3,633.92
  6. Step 6: Final answer
    x = 1,752.02

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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.