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Finding the Fourth Proportional to 5,692.60, 8,488.67 and 5,489.56

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Solution

The fourth proportional to 5,692.60, 8,488.67 and 5,489.56 is: 8,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 8,488.67 = 5,489.56 : x
  2. Step 2: Convert to fraction form
    5,692.60/8,488.67 = 5,489.56/x
  3. Step 3: Cross multiply
    5,692.60x = 8,488.67 × 5,489.56
  4. Step 4: Simplify right side
    5,692.60x = 46,599,063.29
  5. Step 5: Solve for x
    x = 46,599,063.29/5,692.60
  6. Step 6: Final answer
    x = 8,185.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.