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Finding the Fourth Proportional to 5,692.72, 7,855.72 and 3,174.76

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Solution

The fourth proportional to 5,692.72, 7,855.72 and 3,174.76 is: 4,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.72 : 7,855.72 = 3,174.76 : x
  2. Step 2: Convert to fraction form
    5,692.72/7,855.72 = 3,174.76/x
  3. Step 3: Cross multiply
    5,692.72x = 7,855.72 × 3,174.76
  4. Step 4: Simplify right side
    5,692.72x = 24,940,025.63
  5. Step 5: Solve for x
    x = 24,940,025.63/5,692.72
  6. Step 6: Final answer
    x = 4,381.04

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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.