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Finding the Fourth Proportional to 4,156.26, 5,735.41 and 2,363.49

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Solution

The fourth proportional to 4,156.26, 5,735.41 and 2,363.49 is: 3,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.26 : 5,735.41 = 2,363.49 : x
  2. Step 2: Convert to fraction form
    4,156.26/5,735.41 = 2,363.49/x
  3. Step 3: Cross multiply
    4,156.26x = 5,735.41 × 2,363.49
  4. Step 4: Simplify right side
    4,156.26x = 13,555,584.18
  5. Step 5: Solve for x
    x = 13,555,584.18/4,156.26
  6. Step 6: Final answer
    x = 3,261.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.