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Finding the Fourth Proportional to 3,892.50, 5,370.84 and 2,633.76

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Solution

The fourth proportional to 3,892.50, 5,370.84 and 2,633.76 is: 3,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.50 : 5,370.84 = 2,633.76 : x
  2. Step 2: Convert to fraction form
    3,892.50/5,370.84 = 2,633.76/x
  3. Step 3: Cross multiply
    3,892.50x = 5,370.84 × 2,633.76
  4. Step 4: Simplify right side
    3,892.50x = 14,145,503.56
  5. Step 5: Solve for x
    x = 14,145,503.56/3,892.50
  6. Step 6: Final answer
    x = 3,634.04

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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.