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Finding the Fourth Proportional to 3,187.38, 4,782.42 and 1,727.54

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Solution

The fourth proportional to 3,187.38, 4,782.42 and 1,727.54 is: 2,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.38 : 4,782.42 = 1,727.54 : x
  2. Step 2: Convert to fraction form
    3,187.38/4,782.42 = 1,727.54/x
  3. Step 3: Cross multiply
    3,187.38x = 4,782.42 × 1,727.54
  4. Step 4: Simplify right side
    3,187.38x = 8,261,821.85
  5. Step 5: Solve for x
    x = 8,261,821.85/3,187.38
  6. Step 6: Final answer
    x = 2,592.04

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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.