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Finding the Fourth Proportional to 5,734.18, 7,910.49 and 3,608.74

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Solution

The fourth proportional to 5,734.18, 7,910.49 and 3,608.74 is: 4,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.18 : 7,910.49 = 3,608.74 : x
  2. Step 2: Convert to fraction form
    5,734.18/7,910.49 = 3,608.74/x
  3. Step 3: Cross multiply
    5,734.18x = 7,910.49 × 3,608.74
  4. Step 4: Simplify right side
    5,734.18x = 28,546,901.68
  5. Step 5: Solve for x
    x = 28,546,901.68/5,734.18
  6. Step 6: Final answer
    x = 4,978.38

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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.