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Finding the Fourth Proportional to 3,692.00, 5,090.92 and 2,431.44

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Solution

The fourth proportional to 3,692.00, 5,090.92 and 2,431.44 is: 3,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.00 : 5,090.92 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    3,692.00/5,090.92 = 2,431.44/x
  3. Step 3: Cross multiply
    3,692.00x = 5,090.92 × 2,431.44
  4. Step 4: Simplify right side
    3,692.00x = 12,378,260.45
  5. Step 5: Solve for x
    x = 12,378,260.45/3,692.00
  6. Step 6: Final answer
    x = 3,352.72

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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.