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Finding the Fourth Proportional to 3,993.60, 5,486.40 and 3,292.80

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Solution

The fourth proportional to 3,993.60, 5,486.40 and 3,292.80 is: 4,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.60 : 5,486.40 = 3,292.80 : x
  2. Step 2: Convert to fraction form
    3,993.60/5,486.40 = 3,292.80/x
  3. Step 3: Cross multiply
    3,993.60x = 5,486.40 × 3,292.80
  4. Step 4: Simplify right side
    3,993.60x = 18,065,617.92
  5. Step 5: Solve for x
    x = 18,065,617.92/3,993.60
  6. Step 6: Final answer
    x = 4,523.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.