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Finding the Fourth Proportional to 4,164.88, 5,745.54 and 3,043.96

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Solution

The fourth proportional to 4,164.88, 5,745.54 and 3,043.96 is: 4,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.88 : 5,745.54 = 3,043.96 : x
  2. Step 2: Convert to fraction form
    4,164.88/5,745.54 = 3,043.96/x
  3. Step 3: Cross multiply
    4,164.88x = 5,745.54 × 3,043.96
  4. Step 4: Simplify right side
    4,164.88x = 17,489,193.94
  5. Step 5: Solve for x
    x = 17,489,193.94/4,164.88
  6. Step 6: Final answer
    x = 4,199.21

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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.