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Finding the Fourth Proportional to 4,692.44, 6,475.04 and 2,702.96

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Solution

The fourth proportional to 4,692.44, 6,475.04 and 2,702.96 is: 3,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.44 : 6,475.04 = 2,702.96 : x
  2. Step 2: Convert to fraction form
    4,692.44/6,475.04 = 2,702.96/x
  3. Step 3: Cross multiply
    4,692.44x = 6,475.04 × 2,702.96
  4. Step 4: Simplify right side
    4,692.44x = 17,501,728.23
  5. Step 5: Solve for x
    x = 17,501,728.23/4,692.44
  6. Step 6: Final answer
    x = 3,729.78

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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.