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Finding the Fourth Proportional to 4,692.21, 6,475.04 and 2,702.85

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Solution

The fourth proportional to 4,692.21, 6,475.04 and 2,702.85 is: 3,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.21 : 6,475.04 = 2,702.85 : x
  2. Step 2: Convert to fraction form
    4,692.21/6,475.04 = 2,702.85/x
  3. Step 3: Cross multiply
    4,692.21x = 6,475.04 × 2,702.85
  4. Step 4: Simplify right side
    4,692.21x = 17,501,048.35
  5. Step 5: Solve for x
    x = 17,501,048.35/4,692.21
  6. Step 6: Final answer
    x = 3,729.81

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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.