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Finding the Fourth Proportional to 3,692.96, 5,096.28 and 2,036.96

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Solution

The fourth proportional to 3,692.96, 5,096.28 and 2,036.96 is: 2,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.96 : 5,096.28 = 2,036.96 : x
  2. Step 2: Convert to fraction form
    3,692.96/5,096.28 = 2,036.96/x
  3. Step 3: Cross multiply
    3,692.96x = 5,096.28 × 2,036.96
  4. Step 4: Simplify right side
    3,692.96x = 10,380,918.51
  5. Step 5: Solve for x
    x = 10,380,918.51/3,692.96
  6. Step 6: Final answer
    x = 2,811.00

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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.