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Finding the Fourth Proportional to 4,692.12, 6,473.56 and 2,702.64

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Solution

The fourth proportional to 4,692.12, 6,473.56 and 2,702.64 is: 3,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.12 : 6,473.56 = 2,702.64 : x
  2. Step 2: Convert to fraction form
    4,692.12/6,473.56 = 2,702.64/x
  3. Step 3: Cross multiply
    4,692.12x = 6,473.56 × 2,702.64
  4. Step 4: Simplify right side
    4,692.12x = 17,495,702.20
  5. Step 5: Solve for x
    x = 17,495,702.20/4,692.12
  6. Step 6: Final answer
    x = 3,728.74

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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.