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Finding the Fourth Proportional to 5,896.61, 8,137.12 and 3,243.99

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Solution

The fourth proportional to 5,896.61, 8,137.12 and 3,243.99 is: 4,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.61 : 8,137.12 = 3,243.99 : x
  2. Step 2: Convert to fraction form
    5,896.61/8,137.12 = 3,243.99/x
  3. Step 3: Cross multiply
    5,896.61x = 8,137.12 × 3,243.99
  4. Step 4: Simplify right side
    5,896.61x = 26,396,735.91
  5. Step 5: Solve for x
    x = 26,396,735.91/5,896.61
  6. Step 6: Final answer
    x = 4,476.60

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1.5x scale

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.