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Finding the Fourth Proportional to 4,692.32, 6,474.24 and 2,874.84

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Solution

The fourth proportional to 4,692.32, 6,474.24 and 2,874.84 is: 3,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.32 : 6,474.24 = 2,874.84 : x
  2. Step 2: Convert to fraction form
    4,692.32/6,474.24 = 2,874.84/x
  3. Step 3: Cross multiply
    4,692.32x = 6,474.24 × 2,874.84
  4. Step 4: Simplify right side
    4,692.32x = 18,612,404.12
  5. Step 5: Solve for x
    x = 18,612,404.12/4,692.32
  6. Step 6: Final answer
    x = 3,966.57

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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.