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Finding the Fourth Proportional to 4,164.42, 5,745.17 and 2,672.02

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Solution

The fourth proportional to 4,164.42, 5,745.17 and 2,672.02 is: 3,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.42 : 5,745.17 = 2,672.02 : x
  2. Step 2: Convert to fraction form
    4,164.42/5,745.17 = 2,672.02/x
  3. Step 3: Cross multiply
    4,164.42x = 5,745.17 × 2,672.02
  4. Step 4: Simplify right side
    4,164.42x = 15,351,209.14
  5. Step 5: Solve for x
    x = 15,351,209.14/4,164.42
  6. Step 6: Final answer
    x = 3,686.28

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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.