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Finding the Fourth Proportional to 3,478.80, 5,218.20 and 3,327.60

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Solution

The fourth proportional to 3,478.80, 5,218.20 and 3,327.60 is: 4,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 5,218.20 = 3,327.60 : x
  2. Step 2: Convert to fraction form
    3,478.80/5,218.20 = 3,327.60/x
  3. Step 3: Cross multiply
    3,478.80x = 5,218.20 × 3,327.60
  4. Step 4: Simplify right side
    3,478.80x = 17,364,082.32
  5. Step 5: Solve for x
    x = 17,364,082.32/3,478.80
  6. Step 6: Final answer
    x = 4,991.40

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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.