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Finding the Fourth Proportional to 5,457.36, 8,180.96 and 1,992

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Solution

The fourth proportional to 5,457.36, 8,180.96 and 1,992 is: 2,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.36 : 8,180.96 = 1,992 : x
  2. Step 2: Convert to fraction form
    5,457.36/8,180.96 = 1,992/x
  3. Step 3: Cross multiply
    5,457.36x = 8,180.96 × 1,992
  4. Step 4: Simplify right side
    5,457.36x = 16,296,472.32
  5. Step 5: Solve for x
    x = 16,296,472.32/5,457.36
  6. Step 6: Final answer
    x = 2,986.15

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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.