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Finding the Fourth Proportional to 3,897.72, 5,850.63 and 2,167.56

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Solution

The fourth proportional to 3,897.72, 5,850.63 and 2,167.56 is: 3,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.72 : 5,850.63 = 2,167.56 : x
  2. Step 2: Convert to fraction form
    3,897.72/5,850.63 = 2,167.56/x
  3. Step 3: Cross multiply
    3,897.72x = 5,850.63 × 2,167.56
  4. Step 4: Simplify right side
    3,897.72x = 12,681,591.56
  5. Step 5: Solve for x
    x = 12,681,591.56/3,897.72
  6. Step 6: Final answer
    x = 3,253.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.