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Finding the Fourth Proportional to 5,227.62, 7,844.10 and 3,473.83

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Solution

The fourth proportional to 5,227.62, 7,844.10 and 3,473.83 is: 5,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.62 : 7,844.10 = 3,473.83 : x
  2. Step 2: Convert to fraction form
    5,227.62/7,844.10 = 3,473.83/x
  3. Step 3: Cross multiply
    5,227.62x = 7,844.10 × 3,473.83
  4. Step 4: Simplify right side
    5,227.62x = 27,249,069.90
  5. Step 5: Solve for x
    x = 27,249,069.90/5,227.62
  6. Step 6: Final answer
    x = 5,212.52

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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.