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Finding the Fourth Proportional to 5,222.98, 7,834.46 and 3,471.40

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Solution

The fourth proportional to 5,222.98, 7,834.46 and 3,471.40 is: 5,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.98 : 7,834.46 = 3,471.40 : x
  2. Step 2: Convert to fraction form
    5,222.98/7,834.46 = 3,471.40/x
  3. Step 3: Cross multiply
    5,222.98x = 7,834.46 × 3,471.40
  4. Step 4: Simplify right side
    5,222.98x = 27,196,544.44
  5. Step 5: Solve for x
    x = 27,196,544.44/5,222.98
  6. Step 6: Final answer
    x = 5,207.09

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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.