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Finding the Fourth Proportional to 3,974.44, 5,482.02 and 2,318.44

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Solution

The fourth proportional to 3,974.44, 5,482.02 and 2,318.44 is: 3,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.44 : 5,482.02 = 2,318.44 : x
  2. Step 2: Convert to fraction form
    3,974.44/5,482.02 = 2,318.44/x
  3. Step 3: Cross multiply
    3,974.44x = 5,482.02 × 2,318.44
  4. Step 4: Simplify right side
    3,974.44x = 12,709,734.45
  5. Step 5: Solve for x
    x = 12,709,734.45/3,974.44
  6. Step 6: Final answer
    x = 3,197.87

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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.