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Finding the Fourth Proportional to 3,967.50, 5,947.22 and 1,883.82

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Solution

The fourth proportional to 3,967.50, 5,947.22 and 1,883.82 is: 2,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.50 : 5,947.22 = 1,883.82 : x
  2. Step 2: Convert to fraction form
    3,967.50/5,947.22 = 1,883.82/x
  3. Step 3: Cross multiply
    3,967.50x = 5,947.22 × 1,883.82
  4. Step 4: Simplify right side
    3,967.50x = 11,203,491.98
  5. Step 5: Solve for x
    x = 11,203,491.98/3,967.50
  6. Step 6: Final answer
    x = 2,823.82

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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.