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Finding the Fourth Proportional to 5,478.40, 8,217.60 and 1,968.40

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Solution

The fourth proportional to 5,478.40, 8,217.60 and 1,968.40 is: 2,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.40 : 8,217.60 = 1,968.40 : x
  2. Step 2: Convert to fraction form
    5,478.40/8,217.60 = 1,968.40/x
  3. Step 3: Cross multiply
    5,478.40x = 8,217.60 × 1,968.40
  4. Step 4: Simplify right side
    5,478.40x = 16,175,523.84
  5. Step 5: Solve for x
    x = 16,175,523.84/5,478.40
  6. Step 6: Final answer
    x = 2,952.60

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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.