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Finding the Fourth Proportional to 6,524.82, 9,004.70 and 3,692.19

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Solution

The fourth proportional to 6,524.82, 9,004.70 and 3,692.19 is: 5,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.82 : 9,004.70 = 3,692.19 : x
  2. Step 2: Convert to fraction form
    6,524.82/9,004.70 = 3,692.19/x
  3. Step 3: Cross multiply
    6,524.82x = 9,004.70 × 3,692.19
  4. Step 4: Simplify right side
    6,524.82x = 33,247,063.29
  5. Step 5: Solve for x
    x = 33,247,063.29/6,524.82
  6. Step 6: Final answer
    x = 5,095.48

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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.