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Finding the Fourth Proportional to 3,865.26, 5,797.89 and 2,335.98

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Solution

The fourth proportional to 3,865.26, 5,797.89 and 2,335.98 is: 3,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.26 : 5,797.89 = 2,335.98 : x
  2. Step 2: Convert to fraction form
    3,865.26/5,797.89 = 2,335.98/x
  3. Step 3: Cross multiply
    3,865.26x = 5,797.89 × 2,335.98
  4. Step 4: Simplify right side
    3,865.26x = 13,543,755.08
  5. Step 5: Solve for x
    x = 13,543,755.08/3,865.26
  6. Step 6: Final answer
    x = 3,503.97

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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.