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Finding the Fourth Proportional to 5,651.38, 8,478.84 and 2,534

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Solution

The fourth proportional to 5,651.38, 8,478.84 and 2,534 is: 3,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.38 : 8,478.84 = 2,534 : x
  2. Step 2: Convert to fraction form
    5,651.38/8,478.84 = 2,534/x
  3. Step 3: Cross multiply
    5,651.38x = 8,478.84 × 2,534
  4. Step 4: Simplify right side
    5,651.38x = 21,485,380.56
  5. Step 5: Solve for x
    x = 21,485,380.56/5,651.38
  6. Step 6: Final answer
    x = 3,801.80

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Why These Related Problems?

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