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Finding the Fourth Proportional to 5,735.16, 7,914.42 and 3,217.28

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Solution

The fourth proportional to 5,735.16, 7,914.42 and 3,217.28 is: 4,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.16 : 7,914.42 = 3,217.28 : x
  2. Step 2: Convert to fraction form
    5,735.16/7,914.42 = 3,217.28/x
  3. Step 3: Cross multiply
    5,735.16x = 7,914.42 × 3,217.28
  4. Step 4: Simplify right side
    5,735.16x = 25,462,865.61
  5. Step 5: Solve for x
    x = 25,462,865.61/5,735.16
  6. Step 6: Final answer
    x = 4,439.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.