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Finding the Fourth Proportional to 5,453.74, 8,178.99 and 1,991.26

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Solution

The fourth proportional to 5,453.74, 8,178.99 and 1,991.26 is: 2,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.74 : 8,178.99 = 1,991.26 : x
  2. Step 2: Convert to fraction form
    5,453.74/8,178.99 = 1,991.26/x
  3. Step 3: Cross multiply
    5,453.74x = 8,178.99 × 1,991.26
  4. Step 4: Simplify right side
    5,453.74x = 16,286,495.63
  5. Step 5: Solve for x
    x = 16,286,495.63/5,453.74
  6. Step 6: Final answer
    x = 2,986.30

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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.