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Finding the Fourth Proportional to 3,814.28, 5,722.04 and 1,181.17

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Solution

The fourth proportional to 3,814.28, 5,722.04 and 1,181.17 is: 1,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.28 : 5,722.04 = 1,181.17 : x
  2. Step 2: Convert to fraction form
    3,814.28/5,722.04 = 1,181.17/x
  3. Step 3: Cross multiply
    3,814.28x = 5,722.04 × 1,181.17
  4. Step 4: Simplify right side
    3,814.28x = 6,758,701.99
  5. Step 5: Solve for x
    x = 6,758,701.99/3,814.28
  6. Step 6: Final answer
    x = 1,771.95

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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.