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Finding the Fourth Proportional to 5,692.02, 7,854.87 and 3,174.30

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Solution

The fourth proportional to 5,692.02, 7,854.87 and 3,174.30 is: 4,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.02 : 7,854.87 = 3,174.30 : x
  2. Step 2: Convert to fraction form
    5,692.02/7,854.87 = 3,174.30/x
  3. Step 3: Cross multiply
    5,692.02x = 7,854.87 × 3,174.30
  4. Step 4: Simplify right side
    5,692.02x = 24,933,713.84
  5. Step 5: Solve for x
    x = 24,933,713.84/5,692.02
  6. Step 6: Final answer
    x = 4,380.47

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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.