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Finding the Fourth Proportional to 5,329.44, 7,979.81 and 3,475.96

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Solution

The fourth proportional to 5,329.44, 7,979.81 and 3,475.96 is: 5,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.44 : 7,979.81 = 3,475.96 : x
  2. Step 2: Convert to fraction form
    5,329.44/7,979.81 = 3,475.96/x
  3. Step 3: Cross multiply
    5,329.44x = 7,979.81 × 3,475.96
  4. Step 4: Simplify right side
    5,329.44x = 27,737,500.37
  5. Step 5: Solve for x
    x = 27,737,500.37/5,329.44
  6. Step 6: Final answer
    x = 5,204.58

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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.