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Finding the Fourth Proportional to 5,692.65, 8,540.12 and 2,405.73

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Solution

The fourth proportional to 5,692.65, 8,540.12 and 2,405.73 is: 3,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.65 : 8,540.12 = 2,405.73 : x
  2. Step 2: Convert to fraction form
    5,692.65/8,540.12 = 2,405.73/x
  3. Step 3: Cross multiply
    5,692.65x = 8,540.12 × 2,405.73
  4. Step 4: Simplify right side
    5,692.65x = 20,545,247.40
  5. Step 5: Solve for x
    x = 20,545,247.40/5,692.65
  6. Step 6: Final answer
    x = 3,609.09

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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.