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Finding the Fourth Proportional to 6,211.87, 8,569.49 and 3,692.56

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Solution

The fourth proportional to 6,211.87, 8,569.49 and 3,692.56 is: 5,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.87 : 8,569.49 = 3,692.56 : x
  2. Step 2: Convert to fraction form
    6,211.87/8,569.49 = 3,692.56/x
  3. Step 3: Cross multiply
    6,211.87x = 8,569.49 × 3,692.56
  4. Step 4: Simplify right side
    6,211.87x = 31,643,355.99
  5. Step 5: Solve for x
    x = 31,643,355.99/6,211.87
  6. Step 6: Final answer
    x = 5,094.02

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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.