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Finding the Fourth Proportional to 3,814.43, 5,722.25 and 1,216.76

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Solution

The fourth proportional to 3,814.43, 5,722.25 and 1,216.76 is: 1,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.43 : 5,722.25 = 1,216.76 : x
  2. Step 2: Convert to fraction form
    3,814.43/5,722.25 = 1,216.76/x
  3. Step 3: Cross multiply
    3,814.43x = 5,722.25 × 1,216.76
  4. Step 4: Simplify right side
    3,814.43x = 6,962,570.21
  5. Step 5: Solve for x
    x = 6,962,570.21/3,814.43
  6. Step 6: Final answer
    x = 1,825.33

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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.