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Finding the Fourth Proportional to 3,965.88, 5,942.22 and 2,577.48

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Solution

The fourth proportional to 3,965.88, 5,942.22 and 2,577.48 is: 3,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.88 : 5,942.22 = 2,577.48 : x
  2. Step 2: Convert to fraction form
    3,965.88/5,942.22 = 2,577.48/x
  3. Step 3: Cross multiply
    3,965.88x = 5,942.22 × 2,577.48
  4. Step 4: Simplify right side
    3,965.88x = 15,315,953.21
  5. Step 5: Solve for x
    x = 15,315,953.21/3,965.88
  6. Step 6: Final answer
    x = 3,861.93

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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.