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Finding the Fourth Proportional to 3,491.88, 5,234.43 and 1,150.27

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Solution

The fourth proportional to 3,491.88, 5,234.43 and 1,150.27 is: 1,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.88 : 5,234.43 = 1,150.27 : x
  2. Step 2: Convert to fraction form
    3,491.88/5,234.43 = 1,150.27/x
  3. Step 3: Cross multiply
    3,491.88x = 5,234.43 × 1,150.27
  4. Step 4: Simplify right side
    3,491.88x = 6,020,981.62
  5. Step 5: Solve for x
    x = 6,020,981.62/3,491.88
  6. Step 6: Final answer
    x = 1,724.28

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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.