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Finding the Fourth Proportional to 3,471.98, 5,205.38 and 1,280.30

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Solution

The fourth proportional to 3,471.98, 5,205.38 and 1,280.30 is: 1,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.98 : 5,205.38 = 1,280.30 : x
  2. Step 2: Convert to fraction form
    3,471.98/5,205.38 = 1,280.30/x
  3. Step 3: Cross multiply
    3,471.98x = 5,205.38 × 1,280.30
  4. Step 4: Simplify right side
    3,471.98x = 6,664,415.59
  5. Step 5: Solve for x
    x = 6,664,415.59/3,471.98
  6. Step 6: Final answer
    x = 1,919.49

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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.