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Finding the Fourth Proportional to 3,758.38, 5,638.18 and 1,161.92

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Solution

The fourth proportional to 3,758.38, 5,638.18 and 1,161.92 is: 1,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.38 : 5,638.18 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    3,758.38/5,638.18 = 1,161.92/x
  3. Step 3: Cross multiply
    3,758.38x = 5,638.18 × 1,161.92
  4. Step 4: Simplify right side
    3,758.38x = 6,551,114.11
  5. Step 5: Solve for x
    x = 6,551,114.11/3,758.38
  6. Step 6: Final answer
    x = 1,743.07

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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.