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Finding the Fourth Proportional to 5,640.98, 8,459.82 and 1,692.06

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Solution

The fourth proportional to 5,640.98, 8,459.82 and 1,692.06 is: 2,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.98 : 8,459.82 = 1,692.06 : x
  2. Step 2: Convert to fraction form
    5,640.98/8,459.82 = 1,692.06/x
  3. Step 3: Cross multiply
    5,640.98x = 8,459.82 × 1,692.06
  4. Step 4: Simplify right side
    5,640.98x = 14,314,523.03
  5. Step 5: Solve for x
    x = 14,314,523.03/5,640.98
  6. Step 6: Final answer
    x = 2,537.60

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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.