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Finding the Fourth Proportional to 5,274.30, 7,896.84 and 2,671.80

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Solution

The fourth proportional to 5,274.30, 7,896.84 and 2,671.80 is: 4,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.30 : 7,896.84 = 2,671.80 : x
  2. Step 2: Convert to fraction form
    5,274.30/7,896.84 = 2,671.80/x
  3. Step 3: Cross multiply
    5,274.30x = 7,896.84 × 2,671.80
  4. Step 4: Simplify right side
    5,274.30x = 21,098,777.11
  5. Step 5: Solve for x
    x = 21,098,777.11/5,274.30
  6. Step 6: Final answer
    x = 4,000.30

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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.