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Finding the Fourth Proportional to 5,399.54, 8,098.64 and 2,280.80

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Solution

The fourth proportional to 5,399.54, 8,098.64 and 2,280.80 is: 3,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.54 : 8,098.64 = 2,280.80 : x
  2. Step 2: Convert to fraction form
    5,399.54/8,098.64 = 2,280.80/x
  3. Step 3: Cross multiply
    5,399.54x = 8,098.64 × 2,280.80
  4. Step 4: Simplify right side
    5,399.54x = 18,471,378.11
  5. Step 5: Solve for x
    x = 18,471,378.11/5,399.54
  6. Step 6: Final answer
    x = 3,420.92

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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.