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Finding the Fourth Proportional to 5,849.76, 8,072.69 and 3,491.85

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Solution

The fourth proportional to 5,849.76, 8,072.69 and 3,491.85 is: 4,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.76 : 8,072.69 = 3,491.85 : x
  2. Step 2: Convert to fraction form
    5,849.76/8,072.69 = 3,491.85/x
  3. Step 3: Cross multiply
    5,849.76x = 8,072.69 × 3,491.85
  4. Step 4: Simplify right side
    5,849.76x = 28,188,605.12
  5. Step 5: Solve for x
    x = 28,188,605.12/5,849.76
  6. Step 6: Final answer
    x = 4,818.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.