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Finding the Fourth Proportional to 5,692.18, 8,538.27 and 1,796.89

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Solution

The fourth proportional to 5,692.18, 8,538.27 and 1,796.89 is: 2,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.18 : 8,538.27 = 1,796.89 : x
  2. Step 2: Convert to fraction form
    5,692.18/8,538.27 = 1,796.89/x
  3. Step 3: Cross multiply
    5,692.18x = 8,538.27 × 1,796.89
  4. Step 4: Simplify right side
    5,692.18x = 15,342,331.98
  5. Step 5: Solve for x
    x = 15,342,331.98/5,692.18
  6. Step 6: Final answer
    x = 2,695.34

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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.