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Finding the Fourth Proportional to 3,631.96, 5,446.74 and 1,166.19

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Solution

The fourth proportional to 3,631.96, 5,446.74 and 1,166.19 is: 1,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.96 : 5,446.74 = 1,166.19 : x
  2. Step 2: Convert to fraction form
    3,631.96/5,446.74 = 1,166.19/x
  3. Step 3: Cross multiply
    3,631.96x = 5,446.74 × 1,166.19
  4. Step 4: Simplify right side
    3,631.96x = 6,351,933.72
  5. Step 5: Solve for x
    x = 6,351,933.72/3,631.96
  6. Step 6: Final answer
    x = 1,748.90

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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.