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Finding the Fourth Proportional to 5,391.82, 8,083.84 and 1,692.06

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Solution

The fourth proportional to 5,391.82, 8,083.84 and 1,692.06 is: 2,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.82 : 8,083.84 = 1,692.06 : x
  2. Step 2: Convert to fraction form
    5,391.82/8,083.84 = 1,692.06/x
  3. Step 3: Cross multiply
    5,391.82x = 8,083.84 × 1,692.06
  4. Step 4: Simplify right side
    5,391.82x = 13,678,342.31
  5. Step 5: Solve for x
    x = 13,678,342.31/5,391.82
  6. Step 6: Final answer
    x = 2,536.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.