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Finding the Fourth Proportional to 3,976.68, 5,487.84 and 2,298.09

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Solution

The fourth proportional to 3,976.68, 5,487.84 and 2,298.09 is: 3,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.68 : 5,487.84 = 2,298.09 : x
  2. Step 2: Convert to fraction form
    3,976.68/5,487.84 = 2,298.09/x
  3. Step 3: Cross multiply
    3,976.68x = 5,487.84 × 2,298.09
  4. Step 4: Simplify right side
    3,976.68x = 12,611,550.23
  5. Step 5: Solve for x
    x = 12,611,550.23/3,976.68
  6. Step 6: Final answer
    x = 3,171.38

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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.