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Finding the Fourth Proportional to 5,457.86, 8,185.36 and 1,760.53

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Solution

The fourth proportional to 5,457.86, 8,185.36 and 1,760.53 is: 2,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.86 : 8,185.36 = 1,760.53 : x
  2. Step 2: Convert to fraction form
    5,457.86/8,185.36 = 1,760.53/x
  3. Step 3: Cross multiply
    5,457.86x = 8,185.36 × 1,760.53
  4. Step 4: Simplify right side
    5,457.86x = 14,410,571.84
  5. Step 5: Solve for x
    x = 14,410,571.84/5,457.86
  6. Step 6: Final answer
    x = 2,640.33

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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.