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Finding the Fourth Proportional to 5,638.28, 8,451.74 and 2,715

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Solution

The fourth proportional to 5,638.28, 8,451.74 and 2,715 is: 4,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.28 : 8,451.74 = 2,715 : x
  2. Step 2: Convert to fraction form
    5,638.28/8,451.74 = 2,715/x
  3. Step 3: Cross multiply
    5,638.28x = 8,451.74 × 2,715
  4. Step 4: Simplify right side
    5,638.28x = 22,946,474.10
  5. Step 5: Solve for x
    x = 22,946,474.10/5,638.28
  6. Step 6: Final answer
    x = 4,069.76

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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.