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Finding the Fourth Proportional to 6,299.20, 8,692.32 and 3,646.54

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Solution

The fourth proportional to 6,299.20, 8,692.32 and 3,646.54 is: 5,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.20 : 8,692.32 = 3,646.54 : x
  2. Step 2: Convert to fraction form
    6,299.20/8,692.32 = 3,646.54/x
  3. Step 3: Cross multiply
    6,299.20x = 8,692.32 × 3,646.54
  4. Step 4: Simplify right side
    6,299.20x = 31,696,892.57
  5. Step 5: Solve for x
    x = 31,696,892.57/6,299.20
  6. Step 6: Final answer
    x = 5,031.89

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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.