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Finding the Fourth Proportional to 6,414.07, 8,850.84 and 3,581.23

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Solution

The fourth proportional to 6,414.07, 8,850.84 and 3,581.23 is: 4,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.07 : 8,850.84 = 3,581.23 : x
  2. Step 2: Convert to fraction form
    6,414.07/8,850.84 = 3,581.23/x
  3. Step 3: Cross multiply
    6,414.07x = 8,850.84 × 3,581.23
  4. Step 4: Simplify right side
    6,414.07x = 31,696,893.73
  5. Step 5: Solve for x
    x = 31,696,893.73/6,414.07
  6. Step 6: Final answer
    x = 4,941.78

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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.