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Finding the Fourth Proportional to 5,281.76, 7,927.23 and 2,163.44

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Solution

The fourth proportional to 5,281.76, 7,927.23 and 2,163.44 is: 3,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.76 : 7,927.23 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    5,281.76/7,927.23 = 2,163.44/x
  3. Step 3: Cross multiply
    5,281.76x = 7,927.23 × 2,163.44
  4. Step 4: Simplify right side
    5,281.76x = 17,150,086.47
  5. Step 5: Solve for x
    x = 17,150,086.47/5,281.76
  6. Step 6: Final answer
    x = 3,247.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.