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Finding the Fourth Proportional to 3,841.86, 5,299.92 and 3,692.82

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Solution

The fourth proportional to 3,841.86, 5,299.92 and 3,692.82 is: 5,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.86 : 5,299.92 = 3,692.82 : x
  2. Step 2: Convert to fraction form
    3,841.86/5,299.92 = 3,692.82/x
  3. Step 3: Cross multiply
    3,841.86x = 5,299.92 × 3,692.82
  4. Step 4: Simplify right side
    3,841.86x = 19,571,650.57
  5. Step 5: Solve for x
    x = 19,571,650.57/3,841.86
  6. Step 6: Final answer
    x = 5,094.32

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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.