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Finding the Fourth Proportional to 3,631.99, 5,448.18 and 1,166.62

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Solution

The fourth proportional to 3,631.99, 5,448.18 and 1,166.62 is: 1,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.99 : 5,448.18 = 1,166.62 : x
  2. Step 2: Convert to fraction form
    3,631.99/5,448.18 = 1,166.62/x
  3. Step 3: Cross multiply
    3,631.99x = 5,448.18 × 1,166.62
  4. Step 4: Simplify right side
    3,631.99x = 6,355,922.68
  5. Step 5: Solve for x
    x = 6,355,922.68/3,631.99
  6. Step 6: Final answer
    x = 1,749.98

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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.