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Finding the Fourth Proportional to 5,486.50, 7,571.37 and 2,968.62

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Solution

The fourth proportional to 5,486.50, 7,571.37 and 2,968.62 is: 4,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.50 : 7,571.37 = 2,968.62 : x
  2. Step 2: Convert to fraction form
    5,486.50/7,571.37 = 2,968.62/x
  3. Step 3: Cross multiply
    5,486.50x = 7,571.37 × 2,968.62
  4. Step 4: Simplify right side
    5,486.50x = 22,476,503.15
  5. Step 5: Solve for x
    x = 22,476,503.15/5,486.50
  6. Step 6: Final answer
    x = 4,096.69

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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.