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Finding the Fourth Proportional to 5,634.69, 7,734.21 and 4,991.14

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Solution

The fourth proportional to 5,634.69, 7,734.21 and 4,991.14 is: 6,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.69 : 7,734.21 = 4,991.14 : x
  2. Step 2: Convert to fraction form
    5,634.69/7,734.21 = 4,991.14/x
  3. Step 3: Cross multiply
    5,634.69x = 7,734.21 × 4,991.14
  4. Step 4: Simplify right side
    5,634.69x = 38,602,524.90
  5. Step 5: Solve for x
    x = 38,602,524.90/5,634.69
  6. Step 6: Final answer
    x = 6,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.