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Finding the Fourth Proportional to 5,122.84, 7,065.97 and 3,134.38

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Solution

The fourth proportional to 5,122.84, 7,065.97 and 3,134.38 is: 4,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.84 : 7,065.97 = 3,134.38 : x
  2. Step 2: Convert to fraction form
    5,122.84/7,065.97 = 3,134.38/x
  3. Step 3: Cross multiply
    5,122.84x = 7,065.97 × 3,134.38
  4. Step 4: Simplify right side
    5,122.84x = 22,147,435.05
  5. Step 5: Solve for x
    x = 22,147,435.05/5,122.84
  6. Step 6: Final answer
    x = 4,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.