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Finding the Fourth Proportional to 5,308.48, 7,954.06 and 3,229.12

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Solution

The fourth proportional to 5,308.48, 7,954.06 and 3,229.12 is: 4,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.48 : 7,954.06 = 3,229.12 : x
  2. Step 2: Convert to fraction form
    5,308.48/7,954.06 = 3,229.12/x
  3. Step 3: Cross multiply
    5,308.48x = 7,954.06 × 3,229.12
  4. Step 4: Simplify right side
    5,308.48x = 25,684,628.21
  5. Step 5: Solve for x
    x = 25,684,628.21/5,308.48
  6. Step 6: Final answer
    x = 4,838.41

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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.