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Finding the Fourth Proportional to 5,478.40, 8,206.80 and 3,280.60

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Solution

The fourth proportional to 5,478.40, 8,206.80 and 3,280.60 is: 4,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.40 : 8,206.80 = 3,280.60 : x
  2. Step 2: Convert to fraction form
    5,478.40/8,206.80 = 3,280.60/x
  3. Step 3: Cross multiply
    5,478.40x = 8,206.80 × 3,280.60
  4. Step 4: Simplify right side
    5,478.40x = 26,923,228.08
  5. Step 5: Solve for x
    x = 26,923,228.08/5,478.40
  6. Step 6: Final answer
    x = 4,914.43

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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.