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Finding the Fourth Proportional to 5,692.60, 7,855.58 and 3,174.83

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Solution

The fourth proportional to 5,692.60, 7,855.58 and 3,174.83 is: 4,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 7,855.58 = 3,174.83 : x
  2. Step 2: Convert to fraction form
    5,692.60/7,855.58 = 3,174.83/x
  3. Step 3: Cross multiply
    5,692.60x = 7,855.58 × 3,174.83
  4. Step 4: Simplify right side
    5,692.60x = 24,940,075.90
  5. Step 5: Solve for x
    x = 24,940,075.90/5,692.60
  6. Step 6: Final answer
    x = 4,381.14

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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.