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Finding the Fourth Proportional to 5,324.94, 7,346.20 and 3,171.04

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Solution

The fourth proportional to 5,324.94, 7,346.20 and 3,171.04 is: 4,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.94 : 7,346.20 = 3,171.04 : x
  2. Step 2: Convert to fraction form
    5,324.94/7,346.20 = 3,171.04/x
  3. Step 3: Cross multiply
    5,324.94x = 7,346.20 × 3,171.04
  4. Step 4: Simplify right side
    5,324.94x = 23,295,094.05
  5. Step 5: Solve for x
    x = 23,295,094.05/5,324.94
  6. Step 6: Final answer
    x = 4,374.71

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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.