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Finding the Fourth Proportional to 4,976.96, 7,468.05 and 2,205.54

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Solution

The fourth proportional to 4,976.96, 7,468.05 and 2,205.54 is: 3,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.96 : 7,468.05 = 2,205.54 : x
  2. Step 2: Convert to fraction form
    4,976.96/7,468.05 = 2,205.54/x
  3. Step 3: Cross multiply
    4,976.96x = 7,468.05 × 2,205.54
  4. Step 4: Simplify right side
    4,976.96x = 16,471,083.00
  5. Step 5: Solve for x
    x = 16,471,083.00/4,976.96
  6. Step 6: Final answer
    x = 3,309.47

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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.