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Finding the Fourth Proportional to 5,471.36, 8,206.71 and 3,278.60

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Solution

The fourth proportional to 5,471.36, 8,206.71 and 3,278.60 is: 4,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.36 : 8,206.71 = 3,278.60 : x
  2. Step 2: Convert to fraction form
    5,471.36/8,206.71 = 3,278.60/x
  3. Step 3: Cross multiply
    5,471.36x = 8,206.71 × 3,278.60
  4. Step 4: Simplify right side
    5,471.36x = 26,906,478.37
  5. Step 5: Solve for x
    x = 26,906,478.37/5,471.36
  6. Step 6: Final answer
    x = 4,917.70

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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.