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Finding the Fourth Proportional to 5,471.30, 8,211.28 and 2,009.54

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Solution

The fourth proportional to 5,471.30, 8,211.28 and 2,009.54 is: 3,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.30 : 8,211.28 = 2,009.54 : x
  2. Step 2: Convert to fraction form
    5,471.30/8,211.28 = 2,009.54/x
  3. Step 3: Cross multiply
    5,471.30x = 8,211.28 × 2,009.54
  4. Step 4: Simplify right side
    5,471.30x = 16,500,895.61
  5. Step 5: Solve for x
    x = 16,500,895.61/5,471.30
  6. Step 6: Final answer
    x = 3,015.90

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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.