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Finding the Fourth Proportional to 3,677.96, 5,516.94 and 1,082.72

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Solution

The fourth proportional to 3,677.96, 5,516.94 and 1,082.72 is: 1,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.96 : 5,516.94 = 1,082.72 : x
  2. Step 2: Convert to fraction form
    3,677.96/5,516.94 = 1,082.72/x
  3. Step 3: Cross multiply
    3,677.96x = 5,516.94 × 1,082.72
  4. Step 4: Simplify right side
    3,677.96x = 5,973,273.69
  5. Step 5: Solve for x
    x = 5,973,273.69/3,677.96
  6. Step 6: Final answer
    x = 1,624.07

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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.