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Finding the Fourth Proportional to 3,814.28, 5,264.22 and 2,243

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Solution

The fourth proportional to 3,814.28, 5,264.22 and 2,243 is: 3,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.28 : 5,264.22 = 2,243 : x
  2. Step 2: Convert to fraction form
    3,814.28/5,264.22 = 2,243/x
  3. Step 3: Cross multiply
    3,814.28x = 5,264.22 × 2,243
  4. Step 4: Simplify right side
    3,814.28x = 11,807,645.46
  5. Step 5: Solve for x
    x = 11,807,645.46/3,814.28
  6. Step 6: Final answer
    x = 3,095.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.