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Finding the Fourth Proportional to 4,171.80, 6,264.90 and 2,227.80

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Solution

The fourth proportional to 4,171.80, 6,264.90 and 2,227.80 is: 3,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.80 : 6,264.90 = 2,227.80 : x
  2. Step 2: Convert to fraction form
    4,171.80/6,264.90 = 2,227.80/x
  3. Step 3: Cross multiply
    4,171.80x = 6,264.90 × 2,227.80
  4. Step 4: Simplify right side
    4,171.80x = 13,956,944.22
  5. Step 5: Solve for x
    x = 13,956,944.22/4,171.80
  6. Step 6: Final answer
    x = 3,345.54

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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.