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Finding the Fourth Proportional to 4,109.64, 5,671.31 and 2,221.22

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Solution

The fourth proportional to 4,109.64, 5,671.31 and 2,221.22 is: 3,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.64 : 5,671.31 = 2,221.22 : x
  2. Step 2: Convert to fraction form
    4,109.64/5,671.31 = 2,221.22/x
  3. Step 3: Cross multiply
    4,109.64x = 5,671.31 × 2,221.22
  4. Step 4: Simplify right side
    4,109.64x = 12,597,227.20
  5. Step 5: Solve for x
    x = 12,597,227.20/4,109.64
  6. Step 6: Final answer
    x = 3,065.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.