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Finding the Fourth Proportional to 3,692.34, 5,095.49 and 2,179.94

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Solution

The fourth proportional to 3,692.34, 5,095.49 and 2,179.94 is: 3,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.34 : 5,095.49 = 2,179.94 : x
  2. Step 2: Convert to fraction form
    3,692.34/5,095.49 = 2,179.94/x
  3. Step 3: Cross multiply
    3,692.34x = 5,095.49 × 2,179.94
  4. Step 4: Simplify right side
    3,692.34x = 11,107,826.09
  5. Step 5: Solve for x
    x = 11,107,826.09/3,692.34
  6. Step 6: Final answer
    x = 3,008.34

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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.