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Finding the Fourth Proportional to 3,634.94, 5,447.20 and 2,071.71

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Solution

The fourth proportional to 3,634.94, 5,447.20 and 2,071.71 is: 3,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.94 : 5,447.20 = 2,071.71 : x
  2. Step 2: Convert to fraction form
    3,634.94/5,447.20 = 2,071.71/x
  3. Step 3: Cross multiply
    3,634.94x = 5,447.20 × 2,071.71
  4. Step 4: Simplify right side
    3,634.94x = 11,285,018.71
  5. Step 5: Solve for x
    x = 11,285,018.71/3,634.94
  6. Step 6: Final answer
    x = 3,104.60

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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.