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Finding the Fourth Proportional to 3,228.70, 4,454.28 and 2,109.25

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Solution

The fourth proportional to 3,228.70, 4,454.28 and 2,109.25 is: 2,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.70 : 4,454.28 = 2,109.25 : x
  2. Step 2: Convert to fraction form
    3,228.70/4,454.28 = 2,109.25/x
  3. Step 3: Cross multiply
    3,228.70x = 4,454.28 × 2,109.25
  4. Step 4: Simplify right side
    3,228.70x = 9,395,190.09
  5. Step 5: Solve for x
    x = 9,395,190.09/3,228.70
  6. Step 6: Final answer
    x = 2,909.90

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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.