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Finding the Fourth Proportional to 5,471.20, 8,201.88 and 2,007.64

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Solution

The fourth proportional to 5,471.20, 8,201.88 and 2,007.64 is: 3,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.20 : 8,201.88 = 2,007.64 : x
  2. Step 2: Convert to fraction form
    5,471.20/8,201.88 = 2,007.64/x
  3. Step 3: Cross multiply
    5,471.20x = 8,201.88 × 2,007.64
  4. Step 4: Simplify right side
    5,471.20x = 16,466,422.36
  5. Step 5: Solve for x
    x = 16,466,422.36/5,471.20
  6. Step 6: Final answer
    x = 3,009.65

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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.