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Finding the Fourth Proportional to 3,692.96, 5,097.24 and 2,121.92

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Solution

The fourth proportional to 3,692.96, 5,097.24 and 2,121.92 is: 2,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.96 : 5,097.24 = 2,121.92 : x
  2. Step 2: Convert to fraction form
    3,692.96/5,097.24 = 2,121.92/x
  3. Step 3: Cross multiply
    3,692.96x = 5,097.24 × 2,121.92
  4. Step 4: Simplify right side
    3,692.96x = 10,815,935.50
  5. Step 5: Solve for x
    x = 10,815,935.50/3,692.96
  6. Step 6: Final answer
    x = 2,928.80

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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.