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Finding the Fourth Proportional to 3,638.96, 5,460.18 and 1,791.65

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Solution

The fourth proportional to 3,638.96, 5,460.18 and 1,791.65 is: 2,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.96 : 5,460.18 = 1,791.65 : x
  2. Step 2: Convert to fraction form
    3,638.96/5,460.18 = 1,791.65/x
  3. Step 3: Cross multiply
    3,638.96x = 5,460.18 × 1,791.65
  4. Step 4: Simplify right side
    3,638.96x = 9,782,738.43
  5. Step 5: Solve for x
    x = 9,782,738.43/3,638.96
  6. Step 6: Final answer
    x = 2,688.33

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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.