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Finding the Fourth Proportional to 5,491.44, 8,237.16 and 2,571.80

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Solution

The fourth proportional to 5,491.44, 8,237.16 and 2,571.80 is: 3,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.44 : 8,237.16 = 2,571.80 : x
  2. Step 2: Convert to fraction form
    5,491.44/8,237.16 = 2,571.80/x
  3. Step 3: Cross multiply
    5,491.44x = 8,237.16 × 2,571.80
  4. Step 4: Simplify right side
    5,491.44x = 21,184,328.09
  5. Step 5: Solve for x
    x = 21,184,328.09/5,491.44
  6. Step 6: Final answer
    x = 3,857.70

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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.