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Finding the Fourth Proportional to 3,471.61, 5,205.09 and 1,912.35

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Solution

The fourth proportional to 3,471.61, 5,205.09 and 1,912.35 is: 2,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 5,205.09 = 1,912.35 : x
  2. Step 2: Convert to fraction form
    3,471.61/5,205.09 = 1,912.35/x
  3. Step 3: Cross multiply
    3,471.61x = 5,205.09 × 1,912.35
  4. Step 4: Simplify right side
    3,471.61x = 9,953,953.86
  5. Step 5: Solve for x
    x = 9,953,953.86/3,471.61
  6. Step 6: Final answer
    x = 2,867.24

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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.