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Finding the Fourth Proportional to 3,471.56, 5,201.86 and 1,909.27

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Solution

The fourth proportional to 3,471.56, 5,201.86 and 1,909.27 is: 2,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.56 : 5,201.86 = 1,909.27 : x
  2. Step 2: Convert to fraction form
    3,471.56/5,201.86 = 1,909.27/x
  3. Step 3: Cross multiply
    3,471.56x = 5,201.86 × 1,909.27
  4. Step 4: Simplify right side
    3,471.56x = 9,931,729.23
  5. Step 5: Solve for x
    x = 9,931,729.23/3,471.56
  6. Step 6: Final answer
    x = 2,860.89

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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.