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Finding the Fourth Proportional to 5,351.49, 8,019.14 and 3,962.61

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Solution

The fourth proportional to 5,351.49, 8,019.14 and 3,962.61 is: 5,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.49 : 8,019.14 = 3,962.61 : x
  2. Step 2: Convert to fraction form
    5,351.49/8,019.14 = 3,962.61/x
  3. Step 3: Cross multiply
    5,351.49x = 8,019.14 × 3,962.61
  4. Step 4: Simplify right side
    5,351.49x = 31,776,704.54
  5. Step 5: Solve for x
    x = 31,776,704.54/5,351.49
  6. Step 6: Final answer
    x = 5,937.92

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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.