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Finding the Fourth Proportional to 3,967.61, 5,943.34 and 2,576.73

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Solution

The fourth proportional to 3,967.61, 5,943.34 and 2,576.73 is: 3,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.61 : 5,943.34 = 2,576.73 : x
  2. Step 2: Convert to fraction form
    3,967.61/5,943.34 = 2,576.73/x
  3. Step 3: Cross multiply
    3,967.61x = 5,943.34 × 2,576.73
  4. Step 4: Simplify right side
    3,967.61x = 15,314,392.53
  5. Step 5: Solve for x
    x = 15,314,392.53/3,967.61
  6. Step 6: Final answer
    x = 3,859.85

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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.