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Finding the Fourth Proportional to 5,457.80, 8,194.80 and 3,821.60

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Solution

The fourth proportional to 5,457.80, 8,194.80 and 3,821.60 is: 5,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.80 : 8,194.80 = 3,821.60 : x
  2. Step 2: Convert to fraction form
    5,457.80/8,194.80 = 3,821.60/x
  3. Step 3: Cross multiply
    5,457.80x = 8,194.80 × 3,821.60
  4. Step 4: Simplify right side
    5,457.80x = 31,317,247.68
  5. Step 5: Solve for x
    x = 31,317,247.68/5,457.80
  6. Step 6: Final answer
    x = 5,738.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.