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Finding the Fourth Proportional to 5,222.93, 7,837.08 and 3,469.14

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Solution

The fourth proportional to 5,222.93, 7,837.08 and 3,469.14 is: 5,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.93 : 7,837.08 = 3,469.14 : x
  2. Step 2: Convert to fraction form
    5,222.93/7,837.08 = 3,469.14/x
  3. Step 3: Cross multiply
    5,222.93x = 7,837.08 × 3,469.14
  4. Step 4: Simplify right side
    5,222.93x = 27,187,927.71
  5. Step 5: Solve for x
    x = 27,187,927.71/5,222.93
  6. Step 6: Final answer
    x = 5,205.50

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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.