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Finding the Fourth Proportional to 3,897.80, 5,840.22 and 2,741.12

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Solution

The fourth proportional to 3,897.80, 5,840.22 and 2,741.12 is: 4,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.80 : 5,840.22 = 2,741.12 : x
  2. Step 2: Convert to fraction form
    3,897.80/5,840.22 = 2,741.12/x
  3. Step 3: Cross multiply
    3,897.80x = 5,840.22 × 2,741.12
  4. Step 4: Simplify right side
    3,897.80x = 16,008,743.85
  5. Step 5: Solve for x
    x = 16,008,743.85/3,897.80
  6. Step 6: Final answer
    x = 4,107.12

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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.