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Finding the Fourth Proportional to 3,814.68, 5,722.47 and 1,182.27

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Solution

The fourth proportional to 3,814.68, 5,722.47 and 1,182.27 is: 1,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.68 : 5,722.47 = 1,182.27 : x
  2. Step 2: Convert to fraction form
    3,814.68/5,722.47 = 1,182.27/x
  3. Step 3: Cross multiply
    3,814.68x = 5,722.47 × 1,182.27
  4. Step 4: Simplify right side
    3,814.68x = 6,765,504.61
  5. Step 5: Solve for x
    x = 6,765,504.61/3,814.68
  6. Step 6: Final answer
    x = 1,773.54

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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.