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Finding the Fourth Proportional to 5,400.43, 8,102.88 and 2,587.84

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Solution

The fourth proportional to 5,400.43, 8,102.88 and 2,587.84 is: 3,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.43 : 8,102.88 = 2,587.84 : x
  2. Step 2: Convert to fraction form
    5,400.43/8,102.88 = 2,587.84/x
  3. Step 3: Cross multiply
    5,400.43x = 8,102.88 × 2,587.84
  4. Step 4: Simplify right side
    5,400.43x = 20,968,956.98
  5. Step 5: Solve for x
    x = 20,968,956.98/5,400.43
  6. Step 6: Final answer
    x = 3,882.83

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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.