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Finding the Fourth Proportional to 4,815.82, 7,221.18 and 2,216.50

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Solution

The fourth proportional to 4,815.82, 7,221.18 and 2,216.50 is: 3,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.82 : 7,221.18 = 2,216.50 : x
  2. Step 2: Convert to fraction form
    4,815.82/7,221.18 = 2,216.50/x
  3. Step 3: Cross multiply
    4,815.82x = 7,221.18 × 2,216.50
  4. Step 4: Simplify right side
    4,815.82x = 16,005,745.47
  5. Step 5: Solve for x
    x = 16,005,745.47/4,815.82
  6. Step 6: Final answer
    x = 3,323.58

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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.