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Finding the Fourth Proportional to 5,797.98, 8,696.90 and 2,098.82

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Solution

The fourth proportional to 5,797.98, 8,696.90 and 2,098.82 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.98 : 8,696.90 = 2,098.82 : x
  2. Step 2: Convert to fraction form
    5,797.98/8,696.90 = 2,098.82/x
  3. Step 3: Cross multiply
    5,797.98x = 8,696.90 × 2,098.82
  4. Step 4: Simplify right side
    5,797.98x = 18,253,227.66
  5. Step 5: Solve for x
    x = 18,253,227.66/5,797.98
  6. Step 6: Final answer
    x = 3,148.20

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1.5x scale

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.