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Finding the Fourth Proportional to 5,471.60, 8,205.24 and 2,006.96

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Solution

The fourth proportional to 5,471.60, 8,205.24 and 2,006.96 is: 3,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.60 : 8,205.24 = 2,006.96 : x
  2. Step 2: Convert to fraction form
    5,471.60/8,205.24 = 2,006.96/x
  3. Step 3: Cross multiply
    5,471.60x = 8,205.24 × 2,006.96
  4. Step 4: Simplify right side
    5,471.60x = 16,467,588.47
  5. Step 5: Solve for x
    x = 16,467,588.47/5,471.60
  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.