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Finding the Fourth Proportional to 3,228.48, 4,453.92 and 2,109

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Solution

The fourth proportional to 3,228.48, 4,453.92 and 2,109 is: 2,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.48 : 4,453.92 = 2,109 : x
  2. Step 2: Convert to fraction form
    3,228.48/4,453.92 = 2,109/x
  3. Step 3: Cross multiply
    3,228.48x = 4,453.92 × 2,109
  4. Step 4: Simplify right side
    3,228.48x = 9,393,317.28
  5. Step 5: Solve for x
    x = 9,393,317.28/3,228.48
  6. Step 6: Final answer
    x = 2,909.52

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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.