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Finding the Fourth Proportional to 5,896.62, 8,846.08 and 1,947.71

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Solution

The fourth proportional to 5,896.62, 8,846.08 and 1,947.71 is: 2,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.62 : 8,846.08 = 1,947.71 : x
  2. Step 2: Convert to fraction form
    5,896.62/8,846.08 = 1,947.71/x
  3. Step 3: Cross multiply
    5,896.62x = 8,846.08 × 1,947.71
  4. Step 4: Simplify right side
    5,896.62x = 17,229,615.72
  5. Step 5: Solve for x
    x = 17,229,615.72/5,896.62
  6. Step 6: Final answer
    x = 2,921.95

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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.