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Finding the Fourth Proportional to 5,226.93, 7,843.08 and 3,473.14

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Solution

The fourth proportional to 5,226.93, 7,843.08 and 3,473.14 is: 5,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.93 : 7,843.08 = 3,473.14 : x
  2. Step 2: Convert to fraction form
    5,226.93/7,843.08 = 3,473.14/x
  3. Step 3: Cross multiply
    5,226.93x = 7,843.08 × 3,473.14
  4. Step 4: Simplify right side
    5,226.93x = 27,240,114.87
  5. Step 5: Solve for x
    x = 27,240,114.87/5,226.93
  6. Step 6: Final answer
    x = 5,211.49

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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.