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Finding the Fourth Proportional to 4,153.91, 5,729.16 and 2,661.97

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Solution

The fourth proportional to 4,153.91, 5,729.16 and 2,661.97 is: 3,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.91 : 5,729.16 = 2,661.97 : x
  2. Step 2: Convert to fraction form
    4,153.91/5,729.16 = 2,661.97/x
  3. Step 3: Cross multiply
    4,153.91x = 5,729.16 × 2,661.97
  4. Step 4: Simplify right side
    4,153.91x = 15,250,847.22
  5. Step 5: Solve for x
    x = 15,250,847.22/4,153.91
  6. Step 6: Final answer
    x = 3,671.44

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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.