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Finding the Fourth Proportional to 3,627.17, 5,447.96 and 3,106.97

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Solution

The fourth proportional to 3,627.17, 5,447.96 and 3,106.97 is: 4,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.17 : 5,447.96 = 3,106.97 : x
  2. Step 2: Convert to fraction form
    3,627.17/5,447.96 = 3,106.97/x
  3. Step 3: Cross multiply
    3,627.17x = 5,447.96 × 3,106.97
  4. Step 4: Simplify right side
    3,627.17x = 16,926,632.75
  5. Step 5: Solve for x
    x = 16,926,632.75/3,627.17
  6. Step 6: Final answer
    x = 4,666.62

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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.