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Finding the Fourth Proportional to 5,735.27, 7,910.60 and 4,882.34

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Solution

The fourth proportional to 5,735.27, 7,910.60 and 4,882.34 is: 6,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.27 : 7,910.60 = 4,882.34 : x
  2. Step 2: Convert to fraction form
    5,735.27/7,910.60 = 4,882.34/x
  3. Step 3: Cross multiply
    5,735.27x = 7,910.60 × 4,882.34
  4. Step 4: Simplify right side
    5,735.27x = 38,622,234.17
  5. Step 5: Solve for x
    x = 38,622,234.17/5,735.27
  6. Step 6: Final answer
    x = 6,734.16

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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.