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Finding the Fourth Proportional to 5,580.82, 7,702.59 and 3,692.44

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Solution

The fourth proportional to 5,580.82, 7,702.59 and 3,692.44 is: 5,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.82 : 7,702.59 = 3,692.44 : x
  2. Step 2: Convert to fraction form
    5,580.82/7,702.59 = 3,692.44/x
  3. Step 3: Cross multiply
    5,580.82x = 7,702.59 × 3,692.44
  4. Step 4: Simplify right side
    5,580.82x = 28,441,351.42
  5. Step 5: Solve for x
    x = 28,441,351.42/5,580.82
  6. Step 6: Final answer
    x = 5,096.27

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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.