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Finding the Fourth Proportional to 5,263.67, 7,892.60 and 2,142.88

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Solution

The fourth proportional to 5,263.67, 7,892.60 and 2,142.88 is: 3,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.67 : 7,892.60 = 2,142.88 : x
  2. Step 2: Convert to fraction form
    5,263.67/7,892.60 = 2,142.88/x
  3. Step 3: Cross multiply
    5,263.67x = 7,892.60 × 2,142.88
  4. Step 4: Simplify right side
    5,263.67x = 16,912,855.23
  5. Step 5: Solve for x
    x = 16,912,855.23/5,263.67
  6. Step 6: Final answer
    x = 3,213.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.