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Finding the Fourth Proportional to 3,228.82, 4,450.71 and 2,109.20

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Solution

The fourth proportional to 3,228.82, 4,450.71 and 2,109.20 is: 2,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.82 : 4,450.71 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    3,228.82/4,450.71 = 2,109.20/x
  3. Step 3: Cross multiply
    3,228.82x = 4,450.71 × 2,109.20
  4. Step 4: Simplify right side
    3,228.82x = 9,387,423.19
  5. Step 5: Solve for x
    x = 9,387,423.19/3,228.82
  6. Step 6: Final answer
    x = 2,907.39

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Why These Related Problems?

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