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Finding the Fourth Proportional to 5,491.27, 8,222.86 and 3,023.38

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Solution

The fourth proportional to 5,491.27, 8,222.86 and 3,023.38 is: 4,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.27 : 8,222.86 = 3,023.38 : x
  2. Step 2: Convert to fraction form
    5,491.27/8,222.86 = 3,023.38/x
  3. Step 3: Cross multiply
    5,491.27x = 8,222.86 × 3,023.38
  4. Step 4: Simplify right side
    5,491.27x = 24,860,830.47
  5. Step 5: Solve for x
    x = 24,860,830.47/5,491.27
  6. Step 6: Final answer
    x = 4,527.34

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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.