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Finding the Fourth Proportional to 3,951.86, 5,449.47 and 3,394.17

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Solution

The fourth proportional to 3,951.86, 5,449.47 and 3,394.17 is: 4,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.86 : 5,449.47 = 3,394.17 : x
  2. Step 2: Convert to fraction form
    3,951.86/5,449.47 = 3,394.17/x
  3. Step 3: Cross multiply
    3,951.86x = 5,449.47 × 3,394.17
  4. Step 4: Simplify right side
    3,951.86x = 18,496,427.59
  5. Step 5: Solve for x
    x = 18,496,427.59/3,951.86
  6. Step 6: Final answer
    x = 4,680.44

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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.